120100012001200 has 480 divisors, whose sum is σ = 364775569869312. Its totient is φ = 36911367168000.

The previous prime is 120100012001141. The next prime is 120100012001201. The reversal of 120100012001200 is 2100210001021.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (120100012001201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1331839314 + ... + 1331929486.

Almost surely, 2^{120100012001200} is an apocalyptic number.

120100012001200 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 120100012001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182387784934656).

120100012001200 is an abundant number, since it is smaller than the sum of its proper divisors (244675557868112).

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

120100012001200 is a wasteful number, since it uses less digits than its factorization.

120100012001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90813 (or 90802 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 120100012001200 its reverse (2100210001021), we get a palindrome (122200222002221).

The spelling of 120100012001200 in words is "one hundred twenty trillion, one hundred billion, twelve million, one thousand, two hundred".