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12100121100012 = 22311194824609689
BaseRepresentation
bin1011000000010100011101…
…1010110111111011101100
31120211202112020120222000210
42300011013122313323230
53041222022000200022
641422415140422420
72356130165223201
oct260050732677354
946752466528023
1012100121100012
1139456a5a03160
1214351020a7a10
1369a06231cb2a
142db912b63ca8
1515eb42acba0c
hexb01476b7eec

12100121100012 has 48 divisors (see below), whose sum is σ = 32421377116800. Its totient is φ = 3473718975360.

The previous prime is 12100121099999. The next prime is 12100121100013. The reversal of 12100121100012 is 21000112100121.

It is a super-2 number, since 2×121001211000122 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (12100121100013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2412302337 + ... + 2412307352.

It is an arithmetic number, because the mean of its divisors is an integer number (675445356600).

Almost surely, 212100121100012 is an apocalyptic number.

12100121100012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12100121100012 is an abundant number, since it is smaller than the sum of its proper divisors (20321256016788).

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

12100121100012 is a wasteful number, since it uses less digits than its factorization.

12100121100012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4824609726 (or 4824609724 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12100121100012 its reverse (21000112100121), we get a palindrome (33100233200133).

The spelling of 12100121100012 in words is "twelve trillion, one hundred billion, one hundred twenty-one million, one hundred thousand, twelve".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 132 209 228 418 627 836 1254 2508 4824609689 9649219378 14473829067 19298438756 28947658134 53070706579 57895316268 91667584091 106141413158 159212119737 183335168182 212282826316 275002752273 318424239474 366670336364 550005504546 636848478948 1008343425001 1100011009092 2016686850002 3025030275003 4033373700004 6050060550006 12100121100012