120506428500 has 192 divisors, whose sum is σ = 361728267264. Its totient is φ = 31151232000.

The previous prime is 120506428487. The next prime is 120506428507. The reversal of 120506428500 is 5824605021.

120506428500 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×120506428500² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120506428507) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15591637 + ... + 15599363.

It is an arithmetic number, because the mean of its divisors is an integer number (1884001392).

Almost surely, 2^120506428500 is an apocalyptic number.

120506428500 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 120506428500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180864133632).

120506428500 is an abundant number, since it is smaller than the sum of its proper divisors (241221838764).

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

120506428500 is a wasteful number, since it uses less digits than its factorization.

120506428500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8067 (or 8055 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The spelling of 120506428500 in words is "one hundred twenty billion, five hundred six million, four hundred twenty-eight thousand, five hundred".