120892943463600 has 1920 divisors, whose sum is σ = 525825545011200. Its totient is φ = 22993212211200.

The previous prime is 120892943463569. The next prime is 120892943463637. The reversal of 120892943463600 is 6364349298021.

It is a super-4 number, since 4×120892943463600⁴ (a number of 57 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 6964271721 + ... + 6964289079.

It is an arithmetic number, because the mean of its divisors is an integer number (273867471360).

Almost surely, 2^{120892943463600} is an apocalyptic number.

120892943463600 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 120892943463600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262912772505600).

120892943463600 is an abundant number, since it is smaller than the sum of its proper divisors (404932601547600).

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

120892943463600 is a wasteful number, since it uses less digits than its factorization.

120892943463600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17563 (or 17552 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 57.

The spelling of 120892943463600 in words is "one hundred twenty trillion, eight hundred ninety-two billion, nine hundred forty-three million, four hundred sixty-three thousand, six hundred".