20010012120 has 256 divisors, whose sum is σ = 76421836800. Its totient is φ = 4562127360.

The previous prime is 20010012103. The next prime is 20010012131. The reversal of 20010012120 is 2121001002.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3179617 + ... + 3185903.

It is an arithmetic number, because the mean of its divisors is an integer number (298522800).

Almost surely, 2^20010012120 is an apocalyptic number.

20010012120 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 20010012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38210918400).

20010012120 is an abundant number, since it is smaller than the sum of its proper divisors (56411824680).

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

20010012120 is a wasteful number, since it uses less digits than its factorization.

20010012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6735 (or 6725 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 20010012120 its reverse (2121001002), we get a palindrome (22131013122).

The spelling of 20010012120 in words is "twenty billion, ten million, twelve thousand, one hundred twenty".