120414232431210 has 128 divisors (see below), whose sum is σ = 305890799984640. Its totient is φ = 30252249446400.

The previous prime is 120414232431197. The next prime is 120414232431247. The reversal of 120414232431210 is 12134232414021.

It is a happy number.

It is a super-2 number, since 2×120414232431210² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 75615354 + ... + 77191386.

It is an arithmetic number, because the mean of its divisors is an integer number (2389771874880).

Almost surely, 2^{120414232431210} is an apocalyptic number.

120414232431210 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 120414232431210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152945399992320).

120414232431210 is an abundant number, since it is smaller than the sum of its proper divisors (185476567553430).

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

120414232431210 is a wasteful number, since it uses less digits than its factorization.

120414232431210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1576804.

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 120414232431210 its reverse (12134232414021), we get a palindrome (132548464845231).

The spelling of 120414232431210 in words is "one hundred twenty trillion, four hundred fourteen billion, two hundred thirty-two million, four hundred thirty-one thousand, two hundred ten".