12721041900 has 270 divisors, whose sum is σ = 47970593748. Its totient is φ = 2907576000.

The previous prime is 12721041889. The next prime is 12721041923. The reversal of 12721041900 is 914012721.

It is a tau number, because it is divible by the number of its divisors (270).

It is a super-2 number, since 2×12721041900² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 380875 + ... + 412925.

Almost surely, 2^12721041900 is an apocalyptic number.

12721041900 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 12721041900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23985296874).

12721041900 is an abundant number, since it is smaller than the sum of its proper divisors (35249551848).

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

12721041900 is a wasteful number, since it uses less digits than its factorization.

12721041900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32091 (or 32068 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The spelling of 12721041900 in words is "twelve billion, seven hundred twenty-one million, forty-one thousand, nine hundred".