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121202210002212 = 2232172326641323207
BaseRepresentation
bin11011100011101110010110…
…101011000101010100100100
3120220010211002101222220000200
4123203232112223011110210
5111341234111230032322
61105435305425310500
734346366515455303
oct3343562653052444
9526124071886020
10121202210002212
11356896288a1709
1211715972a95430
13528241c8388a1
1421d030acba43a
15e02b333868ac
hex6e3b96ac5524

121202210002212 has 144 divisors (see below), whose sum is σ = 338511997055232. Its totient is φ = 36369517916160.

The previous prime is 121202210002163. The next prime is 121202210002261. The reversal of 121202210002212 is 212200012202121.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (121202210002163) and next prime (121202210002261).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 374837113 + ... + 375160319.

It is an arithmetic number, because the mean of its divisors is an integer number (2350777757328).

Almost surely, 2121202210002212 is an apocalyptic number.

121202210002212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121202210002212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169255998527616).

121202210002212 is an abundant number, since it is smaller than the sum of its proper divisors (217309787053020).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121202210002212 is a wasteful number, since it uses less digits than its factorization.

121202210002212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349898 (or 349893 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 121202210002212 its reverse (212200012202121), we get a palindrome (333402222204333).

The spelling of 121202210002212 in words is "one hundred twenty-one trillion, two hundred two billion, two hundred ten million, two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 23 34 36 46 51 68 69 92 102 138 153 204 207 276 306 391 414 612 782 828 1173 1564 2346 3519 4692 7038 14076 26641 53282 79923 106564 159846 239769 319692 323207 452897 479538 612743 646414 905794 959076 969621 1225486 1292828 1358691 1811588 1838229 1939242 2450972 2717382 2908863 3676458 3878484 4076073 5434764 5494519 5514687 5817726 7352916 7433761 8152146 10416631 10989038 11029374 11635452 14867522 16304292 16483557 20833262 21978076 22058748 22301283 29735044 31249893 32967114 41666524 44602566 49450671 62499786 65934228 66903849 89205132 93749679 98901342 124999572 126373937 133807698 187499358 197802684 252747874 267615396 374998716 379121811 505495748 758243622 1137365433 1516487244 2274730866 4549461732 8610557687 17221115374 25831673061 34442230748 51663346122 77495019183 103326692244 146379480679 154990038366 198042826801 292758961358 309980076732 396085653602 439138442037 585517922716 594128480403 792171307204 878276884074 1188256960806 1317415326111 1756553768148 1782385441209 2376513921612 2634830652222 3366728055617 3564770882418 5269661304444 6733456111234 7129541764836 10100184166851 13466912222468 20200368333702 30300552500553 40400736667404 60601105001106 121202210002212