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20120002112120 = 2352982121126467
BaseRepresentation
bin1001001001100100011011…
…00101000010101001111000
32122020110020112121102102212
410210302031211002221320
510114121231020041440
6110443000143514252
74144423260112031
oct444621545025170
978213215542385
1020120002112120
116457932735009
12230b483bb8988
13b2c400a5a581
144d7b55993a88
1524d57a107465
hex124c8d942a78

20120002112120 has 64 divisors (see below), whose sum is σ = 46888083079200. Its totient is φ = 7761018549760.

The previous prime is 20120002112099. The next prime is 20120002112123. The reversal of 20120002112120 is 2121120002102.

It is a super-2 number, since 2×201200021121202 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20120002112095 and 20120002112104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20120002112123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9610874 + ... + 11515593.

Almost surely, 220120002112120 is an apocalyptic number.

20120002112120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20120002112120 is an abundant number, since it is smaller than the sum of its proper divisors (26768080967080).

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

20120002112120 is a wasteful number, since it uses less digits than its factorization.

20120002112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21127328 (or 21127324 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 20120002112120 its reverse (2121120002102), we get a palindrome (22241122114222).

The spelling of 20120002112120 in words is "twenty trillion, one hundred twenty billion, two million, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 821 1160 1642 3284 4105 6568 8210 16420 23809 32840 47618 95236 119045 190472 238090 476180 952360 21126467 42252934 84505868 105632335 169011736 211264670 422529340 612667543 845058680 1225335086 2450670172 3063337715 4901340344 6126675430 12253350860 17344829407 24506701720 34689658814 69379317628 86724147035 138758635256 173448294070 346896588140 503000052803 693793176280 1006000105606 2012000211212 2515000264015 4024000422424 5030000528030 10060001056060 20120002112120