12272640502100 has 216 divisors, whose sum is σ = 30290598444288. Its totient is φ = 4275936000000.

The previous prime is 12272640502051. The next prime is 12272640502103. The reversal of 12272640502100 is 120504627221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12272640502103) 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 71 ways as a sum of consecutive naturals, for example, 347836460 + ... + 347871740.

Almost surely, 2^{12272640502100} is an apocalyptic number.

12272640502100 is a gapful number since it is divisible by the number (10) 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 12272640502100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15145299222144).

12272640502100 is an abundant number, since it is smaller than the sum of its proper divisors (18017957942188).

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

12272640502100 is a wasteful number, since it uses less digits than its factorization.

12272640502100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35539 (or 35431 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The spelling of 12272640502100 in words is "twelve trillion, two hundred seventy-two billion, six hundred forty million, five hundred two thousand, one hundred".