120400033520 has 320 divisors, whose sum is σ = 317355687936. Its totient is φ = 42186977280.

The previous prime is 120400033493. The next prime is 120400033543. The reversal of 120400033520 is 25330004021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 120400033492 and 120400033501.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 346973987 + ... + 346974333.

Almost surely, 2^120400033520 is an apocalyptic number.

120400033520 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 120400033520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158677843968).

120400033520 is an abundant number, since it is smaller than the sum of its proper divisors (196955654416).

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

120400033520 is a wasteful number, since it uses less digits than its factorization.

120400033520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

Adding to 120400033520 its reverse (25330004021), we get a palindrome (145730037541).

The spelling of 120400033520 in words is "one hundred twenty billion, four hundred million, thirty-three thousand, five hundred twenty".