10120400020 has 96 divisors (see below), whose sum is σ = 22327861248. Its totient is φ = 3849347712.

The previous prime is 10120399997. The next prime is 10120400029. The reversal of 10120400020 is 2000402101.

It is a super-4 number, since 4×10120400020⁴ (a number of 41 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120400029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9174789 + ... + 9175891.

It is an arithmetic number, because the mean of its divisors is an integer number (232581888).

Almost surely, 2^10120400020 is an apocalyptic number.

10120400020 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 10120400020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11163930624).

10120400020 is an abundant number, since it is smaller than the sum of its proper divisors (12207461228).

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

10120400020 is a wasteful number, since it uses less digits than its factorization.

10120400020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1429 (or 1427 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 10120400020 its reverse (2000402101), we get a palindrome (12120802121).

The spelling of 10120400020 in words is "ten billion, one hundred twenty million, four hundred thousand, twenty".