120012001200120 has 256 divisors, whose sum is σ = 389257481831040. Its totient is φ = 29491195281408.

The previous prime is 120012001200109. The next prime is 120012001200127. The reversal of 120012001200120 is 21002100210021.

It is a Harshad number since it is a multiple of its sum of digits (12).

120012001200120 is a modest number, since divided by 12001200120 gives 120 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 120012001200096 and 120012001200105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120012001200127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17460864 + ... + 23343216.

Almost surely, 2^{120012001200120} is an apocalyptic number.

120012001200120 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 120012001200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194628740915520).

120012001200120 is an abundant number, since it is smaller than the sum of its proper divisors (269245480630920).

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

120012001200120 is a wasteful number, since it uses less digits than its factorization.

120012001200120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5882594 (or 5882590 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 120012001200120 its reverse (21002100210021), we get a palindrome (141014101410141).

Subtracting from 120012001200120 its reverse (21002100210021), we obtain a palindrome (99009900990099).

The spelling of 120012001200120 in words is "one hundred twenty trillion, twelve billion, one million, two hundred thousand, one hundred twenty".