120122002112000 has 480 divisors, whose sum is σ = 357853346794944. Its totient is φ = 39393970176000.

The previous prime is 120122002111957. The next prime is 120122002112009. The reversal of 120122002112000 is 211200221021.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120122002112009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 236738570 + ... + 237245430.

Almost surely, 2^{120122002112000} is an apocalyptic number.

120122002112000 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 120122002112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178926673397472).

120122002112000 is an abundant number, since it is smaller than the sum of its proper divisors (237731344682944).

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

120122002112000 is an frugal number, since it uses more digits than its factorization.

120122002112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506947 (or 506898 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 120122002112000 its reverse (211200221021), we get a palindrome (120333202333021).

The spelling of 120122002112000 in words is "one hundred twenty trillion, one hundred twenty-two billion, two million, one hundred twelve thousand".