120233540401000 has 64 divisors (see below), whose sum is σ = 302988521843280. Its totient is φ = 44393922604800.

The previous prime is 120233540400991. The next prime is 120233540401027. The reversal of 120233540401000 is 104045332021.

It can be written as a sum of positive squares in 8 ways, for example, as 12286469102436 + 107947071298564 = 3505206^2 + 10389758^2 .

It is a super-2 number, since 2×120233540401000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4624353939 + ... + 4624379938.

Almost surely, 2^{120233540401000} is an apocalyptic number.

120233540401000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120233540401000 is an abundant number, since it is smaller than the sum of its proper divisors (182754981442280).

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

120233540401000 is a wasteful number, since it uses less digits than its factorization.

120233540401000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9248733911 (or 9248733897 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 120233540401000 its reverse (104045332021), we get a palindrome (120337585733021).

The spelling of 120233540401000 in words is "one hundred twenty trillion, two hundred thirty-three billion, five hundred forty million, four hundred one thousand".