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12022102112100 = 2235240073673707
BaseRepresentation
bin1010111011110001110100…
…1000000011011101100100
31120120022010222002201201220
42232330131020003131210
53033432231120041400
641322513311020340
72350365616611063
oct256743510033544
946508128081656
1012022102112100
1139155aa254853
121421b6980a6b0
136928aa744822
142d7c311401da
1515cac84be7a0
hexaef1d203764

12022102112100 has 36 divisors (see below), whose sum is σ = 34783948778544. Its totient is φ = 3205893896480.

The previous prime is 12022102112099. The next prime is 12022102112147. The reversal of 12022102112100 is 121120122021.

12022102112100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12022102112100.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20036836554 + ... + 20036837153.

It is an arithmetic number, because the mean of its divisors is an integer number (966220799404).

Almost surely, 212022102112100 is an apocalyptic number.

12022102112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12022102112100 is an abundant number, since it is smaller than the sum of its proper divisors (22761846666444).

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

12022102112100 is a wasteful number, since it uses less digits than its factorization.

12022102112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40073673724 (or 40073673717 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12022102112100 its reverse (121120122021), we get a palindrome (12143222234121).

The spelling of 12022102112100 in words is "twelve trillion, twenty-two billion, one hundred two million, one hundred twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 40073673707 80147347414 120221021121 160294694828 200368368535 240442042242 400736737070 480884084484 601105105605 801473474140 1001841842675 1202210211210 2003683685350 2404420422420 3005525528025 4007367370700 6011051056050 12022102112100