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120221210102220 = 223254931135448309
BaseRepresentation
bin11011010101011100101110…
…100001011100100111001100
3120202200000221211121112212100
4123111130232201130213030
5111224201014241232340
61103404510025035100
734215460442056653
oct3325345641344714
9522600854545770
10120221210102220
113534058aa40107
1211597814025a90
135210a71a44196
142198a4803619a
15dd7369bc9830
hex6d572e85c9cc

120221210102220 has 72 divisors (see below), whose sum is σ = 364744961446320. Its totient is φ = 32052487605120.

The previous prime is 120221210102159. The next prime is 120221210102261. The reversal of 120221210102220 is 22201012122021.

It is a happy number.

120221210102220 is a `hidden beast` number, since 1 + 2 + 0 + 221 + 210 + 10 + 2 + 220 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 120221210102193 and 120221210102202.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66836575 + ... + 68611734.

It is an arithmetic number, because the mean of its divisors is an integer number (5065902242310).

Almost surely, 2120221210102220 is an apocalyptic number.

120221210102220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120221210102220 is an abundant number, since it is smaller than the sum of its proper divisors (244523751344100).

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

120221210102220 is a wasteful number, since it uses less digits than its factorization.

120221210102220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135453255 (or 135453250 counting only the distinct ones).

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

Adding to 120221210102220 its reverse (22201012122021), we get a palindrome (142422222224241).

The spelling of 120221210102220 in words is "one hundred twenty trillion, two hundred twenty-one billion, two hundred ten million, one hundred two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 4931 9862 14793 19724 24655 29586 44379 49310 59172 73965 88758 98620 147930 177516 221895 295860 443790 887580 135448309 270896618 406344927 541793236 677241545 812689854 1219034781 1354483090 1625379708 2031724635 2438069562 2708966180 4063449270 4876139124 6095173905 8126898540 12190347810 24380695620 667895611679 1335791223358 2003686835037 2671582446716 3339478058395 4007373670074 6011060505111 6678956116790 8014747340148 10018434175185 12022121010222 13357912233580 20036868350370 24044242020444 30055302525555 40073736700740 60110605051110 120221210102220