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12122101332 = 22341123147881
BaseRepresentation
bin10110100101000100…
…01001011001010100
31011021210212112220000
423102202021121110
5144311224220312
65322510411300
7606253106205
oct132242113124
934253775800
1012122101332
115160679170
122423800b30
1311b2546033
1482dd235ac
154ae33dadc
hex2d2889654

12122101332 has 120 divisors (see below), whose sum is σ = 36073743552. Its totient is φ = 3513628800.

The previous prime is 12122101331. The next prime is 12122101333. The reversal of 12122101332 is 23310122121.

12122101332 is a `hidden beast` number, since 121 + 2 + 210 + 1 + 332 = 666.

It is an interprime number because it is at equal distance from previous prime (12122101331) and next prime (12122101333).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12122101331) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8032 + ... + 155912.

Almost surely, 212122101332 is an apocalyptic number.

12122101332 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 12122101332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18036871776).

12122101332 is an abundant number, since it is smaller than the sum of its proper divisors (23951642220).

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

12122101332 is a wasteful number, since it uses less digits than its factorization.

12122101332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147931 (or 147920 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12122101332 its reverse (23310122121), we get a palindrome (35432223453).

The spelling of 12122101332 in words is "twelve billion, one hundred twenty-two million, one hundred one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 27 33 36 44 46 54 66 69 81 92 99 108 132 138 162 198 207 253 276 297 324 396 414 506 594 621 759 828 891 1012 1188 1242 1518 1782 1863 2277 2484 3036 3564 3726 4554 6831 7452 9108 13662 20493 27324 40986 81972 147881 295762 443643 591524 887286 1330929 1626691 1774572 2661858 3253382 3401263 3992787 4880073 5323716 6506764 6802526 7985574 9760146 10203789 11978361 13605052 14640219 15971148 19520292 20407578 23956722 29280438 30611367 37413893 40815156 43920657 47913444 58560876 61222734 74827786 87841314 91834101 112241679 122445468 131761971 149655572 175682628 183668202 224483358 263523942 275502303 336725037 367336404 448966716 527047884 551004606 673450074 1010175111 1102009212 1346900148 2020350222 3030525333 4040700444 6061050666 12122101332