120667900711680 has 1440 divisors, whose sum is σ = 525266315481600. Its totient is φ = 25835736858624.

The previous prime is 120667900711669. The next prime is 120667900711697. The reversal of 120667900711680 is 86117009766021.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1227210999 + ... + 1227309321.

It is an arithmetic number, because the mean of its divisors is an integer number (364768274640).

Almost surely, 2^{120667900711680} is an apocalyptic number.

120667900711680 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 120667900711680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262633157740800).

120667900711680 is an abundant number, since it is smaller than the sum of its proper divisors (404598414769920).

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

120667900711680 is an equidigital number, since it uses as much as digits as its factorization.

120667900711680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98471 (or 98448 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 120667900711680 in words is "one hundred twenty trillion, six hundred sixty-seven billion, nine hundred million, seven hundred eleven thousand, six hundred eighty".