120121322010000 has 200 divisors, whose sum is σ = 388042987870560. Its totient is φ = 32009607168000.

The previous prime is 120121322009957. The next prime is 120121322010043. The reversal of 120121322010000 is 10223121021.

It is an interprime number because it is at equal distance from previous prime (120121322009957) and next prime (120121322010043).

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×120121322010000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 40849119 + ... + 43690881.

Almost surely, 2^{120121322010000} is an apocalyptic number.

120121322010000 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 120121322010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194021493935280).

120121322010000 is an abundant number, since it is smaller than the sum of its proper divisors (267921665860560).

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

120121322010000 is a wasteful number, since it uses less digits than its factorization.

120121322010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2843203 (or 2843182 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 120121322010000 its reverse (10223121021), we get a palindrome (120131545131021).

The spelling of 120121322010000 in words is "one hundred twenty trillion, one hundred twenty-one billion, three hundred twenty-two million, ten thousand".