120985621954560 has 1904 divisors, whose sum is σ = 486939351342528. Its totient is φ = 28589005209600.

The previous prime is 120985621954489. The next prime is 120985621954621. The reversal of 120985621954560 is 65459126589021.

120985621954560 is a `hidden beast` number, since 1 + 2 + 0 + 9 + 8 + 5 + 6 + 2 + 19 + 54 + 560 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 107734302159 + ... + 107734303281.

Almost surely, 2^{120985621954560} is an apocalyptic number.

120985621954560 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 120985621954560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243469675671264).

120985621954560 is an abundant number, since it is smaller than the sum of its proper divisors (365953729387968).

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

120985621954560 is an frugal number, since it uses more digits than its factorization.

120985621954560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1230 (or 1185 counting only the distinct ones).

The product of its (nonzero) digits is 46656000, while the sum is 63.

The spelling of 120985621954560 in words is "one hundred twenty trillion, nine hundred eighty-five billion, six hundred twenty-one million, nine hundred fifty-four thousand, five hundred sixty".