20121604900 has 72 divisors (see below), whose sum is σ = 45075802464. Its totient is φ = 7791705600.

The previous prime is 20121604897. The next prime is 20121604907. The reversal of 20121604900 is 940612102.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (20121604907) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 465195 + ... + 506605.

It is an arithmetic number, because the mean of its divisors is an integer number (626052812).

Almost surely, 2^20121604900 is an apocalyptic number.

20121604900 is a gapful number since it is divisible by the number (20) 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 20121604900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22537901232).

20121604900 is an abundant number, since it is smaller than the sum of its proper divisors (24954197564).

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

20121604900 is a wasteful number, since it uses less digits than its factorization.

20121604900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41581 (or 41574 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The spelling of 20121604900 in words is "twenty billion, one hundred twenty-one million, six hundred four thousand, nine hundred".