120220354891056 has 320 divisors, whose sum is σ = 361764245606400. Its totient is φ = 33695463656448.

The previous prime is 120220354890967. The next prime is 120220354891111. The reversal of 120220354891056 is 650198453022021.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 120220354890996 and 120220354891014.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1943929671 + ... + 1943991513.

It is an arithmetic number, because the mean of its divisors is an integer number (1130513267520).

Almost surely, 2^{120220354891056} is an apocalyptic number.

120220354891056 is a gapful number since it is divisible by the number (16) 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 120220354891056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180882122803200).

120220354891056 is an abundant number, since it is smaller than the sum of its proper divisors (241543890715344).

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

120220354891056 is a wasteful number, since it uses less digits than its factorization.

120220354891056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62496 (or 62490 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 48.

The spelling of 120220354891056 in words is "one hundred twenty trillion, two hundred twenty billion, three hundred fifty-four million, eight hundred ninety-one thousand, fifty-six".