120264420510 has 144 divisors (see below), whose sum is σ = 339672325824. Its totient is φ = 29508979968.

The previous prime is 120264420487. The next prime is 120264420557. The reversal of 120264420510 is 15024462021.

120264420510 is a `hidden beast` number, since 1 + 2 + 0 + 2 + 644 + 2 + 0 + 5 + 10 = 666.

It is a super-2 number, since 2×120264420510² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4809099 + ... + 4834041.

It is an arithmetic number, because the mean of its divisors is an integer number (2358835596).

Almost surely, 2^120264420510 is an apocalyptic number.

120264420510 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120264420510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169836162912).

120264420510 is an abundant number, since it is smaller than the sum of its proper divisors (219407905314).

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

120264420510 is a wasteful number, since it uses less digits than its factorization.

120264420510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25299 (or 25283 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 120264420510 its reverse (15024462021), we get a palindrome (135288882531).

The spelling of 120264420510 in words is "one hundred twenty billion, two hundred sixty-four million, four hundred twenty thousand, five hundred ten".