120218636160 has 1536 divisors, whose sum is σ = 547118208000. Its totient is φ = 24365629440.

The previous prime is 120218636123. The next prime is 120218636233. The reversal of 120218636160 is 61636812021.

It is a happy number.

120218636160 is a `hidden beast` number, since 1 + 2 + 0 + 2 + 1 + 8 + 636 + 16 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 664191270 + ... + 664191450.

It is an arithmetic number, because the mean of its divisors is an integer number (356196750).

Almost surely, 2^120218636160 is an apocalyptic number.

120218636160 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 120218636160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273559104000).

120218636160 is an abundant number, since it is smaller than the sum of its proper divisors (426899571840).

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

120218636160 is a wasteful number, since it uses less digits than its factorization.

120218636160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 120218636160 in words is "one hundred twenty billion, two hundred eighteen million, six hundred thirty-six thousand, one hundred sixty".