120414334533420 has 96 divisors (see below), whose sum is σ = 345386691357120. Its totient is φ = 31327022039040.

The previous prime is 120414334533401. The next prime is 120414334533439. The reversal of 120414334533420 is 24335433414021.

It is an interprime number because it is at equal distance from previous prime (120414334533401) and next prime (120414334533439).

It is a super-2 number, since 2×120414334533420² (a number of 29 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 494163534 + ... + 494407146.

It is an arithmetic number, because the mean of its divisors is an integer number (3597778034970).

Almost surely, 2^{120414334533420} is an apocalyptic number.

120414334533420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120414334533420 is an abundant number, since it is smaller than the sum of its proper divisors (224972356823700).

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

120414334533420 is a wasteful number, since it uses less digits than its factorization.

120414334533420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444595 (or 444593 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 39.

Adding to 120414334533420 its reverse (24335433414021), we get a palindrome (144749767947441).

The spelling of 120414334533420 in words is "one hundred twenty trillion, four hundred fourteen billion, three hundred thirty-four million, five hundred thirty-three thousand, four hundred twenty".