120133444331021 has 12 divisors (see below), whose sum is σ = 132047836760700. Its totient is φ = 109211947669440.

The previous prime is 120133444330967. The next prime is 120133444331053.

120133444331021 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 106564432230025 + 13569012100996 = 10323005^2 + 3683614^2 .

It is a de Polignac number, because none of the positive numbers 2^k-120133444331021 is a prime.

It is a super-3 number, since 3×120133444331021³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120133444331081) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59124515 + ... + 61122623.

It is an arithmetic number, because the mean of its divisors is an integer number (11003986396725).

Almost surely, 2^{120133444331021} is an apocalyptic number.

120133444331021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120133444331021 is a deficient number, since it is larger than the sum of its proper divisors (11914392429679).

120133444331021 is a wasteful number, since it uses less digits than its factorization.

120133444331021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2495020 (or 2495009 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

The spelling of 120133444331021 in words is "one hundred twenty trillion, one hundred thirty-three billion, four hundred forty-four million, three hundred thirty-one thousand, twenty-one".