120100111212004 has 192 divisors, whose sum is σ = 271869474240000. Its totient is φ = 46007919820800.

The previous prime is 120100111211957. The next prime is 120100111212019. The reversal of 120100111212004 is 400212111001021.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2608070772 + ... + 2608116820.

It is an arithmetic number, because the mean of its divisors is an integer number (1415986845000).

Almost surely, 2^{120100111212004} is an apocalyptic number.

120100111212004 is a gapful number since it is divisible by the number (14) 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 120100111212004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135934737120000).

120100111212004 is an abundant number, since it is smaller than the sum of its proper divisors (151769363027996).

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

120100111212004 is a wasteful number, since it uses less digits than its factorization.

120100111212004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48979 (or 48963 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 120100111212004 its reverse (400212111001021), we get a palindrome (520312222213025).

The spelling of 120100111212004 in words is "one hundred twenty trillion, one hundred billion, one hundred eleven million, two hundred twelve thousand, four".