120897405437760 has 2240 divisors, whose sum is σ = 515434825433088. Its totient is φ = 26323586924544.

The previous prime is 120897405437693. The next prime is 120897405437773. The reversal of 120897405437760 is 67734504798021.

120897405437760 is a `hidden beast` number, since 1 + 2 + 0 + 8 + 97 + 40 + 5 + 437 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 178578146542 + ... + 178578147218.

It is a 1-persistent number, because it is pandigital, but 2⋅120897405437760 = 241794810875520 is not.

Almost surely, 2^{120897405437760} is an apocalyptic number.

120897405437760 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 120897405437760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257717412716544).

120897405437760 is an abundant number, since it is smaller than the sum of its proper divisors (394537419995328).

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

120897405437760 is a wasteful number, since it uses less digits than its factorization.

120897405437760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1290 (or 1271 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 63.

The spelling of 120897405437760 in words is "one hundred twenty trillion, eight hundred ninety-seven billion, four hundred five million, four hundred thirty-seven thousand, seven hundred sixty".