120046653100 has 432 divisors, whose sum is σ = 319844528640. Its totient is φ = 38890368000.

The previous prime is 120046653091. The next prime is 120046653107. The reversal of 120046653100 is 1356640021.

It is a super-2 number, since 2×120046653100² (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 (120046653107) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 386001945 + ... + 386002255.

Almost surely, 2^120046653100 is an apocalyptic number.

120046653100 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 120046653100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159922264320).

120046653100 is an abundant number, since it is smaller than the sum of its proper divisors (199797875540).

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

120046653100 is a wasteful number, since it uses less digits than its factorization.

120046653100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

It can be divided in two parts, 120046 and 653100, that added together give a triangular number (773146 = T₁₂₄₃).

The spelling of 120046653100 in words is "one hundred twenty billion, forty-six million, six hundred fifty-three thousand, one hundred".