120100122122004 has 36 divisors (see below), whose sum is σ = 303586858256500. Its totient is φ = 40033316223360.

The previous prime is 120100122122003. The next prime is 120100122122089. The reversal of 120100122122004 is 400221221001021.

120100122122004 is a `hidden beast` number, since 120 + 100 + 1 + 221 + 220 + 0 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 57597626276100 + 62502495845904 = 7589310^2 + 7905852^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120100122122003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28187034 + ... + 32166894.

Almost surely, 2^{120100122122004} is an apocalyptic number.

It is an amenable number.

120100122122004 is an abundant number, since it is smaller than the sum of its proper divisors (183486736134496).

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

120100122122004 is a wasteful number, since it uses less digits than its factorization.

120100122122004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4818120 (or 4818115 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 120100122122004 its reverse (400221221001021), we get a palindrome (520321343123025).

The spelling of 120100122122004 in words is "one hundred twenty trillion, one hundred billion, one hundred twenty-two million, one hundred twenty-two thousand, four".