120693009608080 has 640 divisors, whose sum is σ = 365299219353600. Its totient is φ = 36053905047552.

The previous prime is 120693009608069. The next prime is 120693009608131. The reversal of 120693009608080 is 80806900396021.

It is a happy number.

It is a super-3 number, since 3×120693009608080³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

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, 9218126014 + ... + 9218139106.

It is an arithmetic number, because the mean of its divisors is an integer number (570780030240).

Almost surely, 2^{120693009608080} is an apocalyptic number.

120693009608080 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 120693009608080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182649609676800).

120693009608080 is an abundant number, since it is smaller than the sum of its proper divisors (244606209745520).

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

120693009608080 is a wasteful number, since it uses less digits than its factorization.

120693009608080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14131 (or 14125 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 52.

The spelling of 120693009608080 in words is "one hundred twenty trillion, six hundred ninety-three billion, nine million, six hundred eight thousand, eighty".