12100826464272 has 600 divisors, whose sum is σ = 44058125771352. Its totient is φ = 3178132070400.

The previous prime is 12100826464249. The next prime is 12100826464289. The reversal of 12100826464272 is 27246462800121.

12100826464272 is a `hidden beast` number, since 1 + 2 + 100 + 82 + 6 + 46 + 427 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1446112071936 + 10654714392336 = 1202544^2 + 3264156^2 .

It is a super-2 number, since 2×12100826464272² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 198927622 + ... + 198988442.

Almost surely, 2^{12100826464272} is an apocalyptic number.

12100826464272 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 12100826464272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22029062885676).

12100826464272 is an abundant number, since it is smaller than the sum of its proper divisors (31957299307080).

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

12100826464272 is a wasteful number, since it uses less digits than its factorization.

12100826464272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61109 (or 61087 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 12100826464272 in words is "twelve trillion, one hundred billion, eight hundred twenty-six million, four hundred sixty-four thousand, two hundred seventy-two".