120112272210980 has 384 divisors, whose sum is σ = 307114366648320. Its totient is φ = 38545303265280.

The previous prime is 120112272210979. The next prime is 120112272211069. The reversal of 120112272210980 is 89012272211021.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 62787386504 + ... + 62787388416.

It is an arithmetic number, because the mean of its divisors is an integer number (799776996480).

Almost surely, 2^{120112272210980} is an apocalyptic number.

120112272210980 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 120112272210980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153557183324160).

120112272210980 is an abundant number, since it is smaller than the sum of its proper divisors (187002094437340).

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

120112272210980 is a wasteful number, since it uses less digits than its factorization.

120112272210980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2899 (or 2897 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 38.

The spelling of 120112272210980 in words is "one hundred twenty trillion, one hundred twelve billion, two hundred seventy-two million, two hundred ten thousand, nine hundred eighty".