120130030022004 has 144 divisors (see below), whose sum is σ = 312454356374160. Its totient is φ = 38892855214080.

The previous prime is 120130030021979. The next prime is 120130030022021. The reversal of 120130030022004 is 400220030031021.

120130030022004 is a `hidden beast` number, since 12 + 0 + 130 + 0 + 300 + 220 + 0 + 4 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4397660643600 + 115732369378404 = 2097060^2 + 10757898^2 .

It is a super-2 number, since 2×120130030022004² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 487637292 + ... + 487883580.

It is an arithmetic number, because the mean of its divisors is an integer number (2169821919265).

Almost surely, 2^{120130030022004} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120130030022004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156227178187080).

120130030022004 is an abundant number, since it is smaller than the sum of its proper divisors (192324326352156).

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

120130030022004 is a wasteful number, since it uses less digits than its factorization.

120130030022004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247810 (or 247805 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 120130030022004 its reverse (400220030031021), we get a palindrome (520350060053025).

The spelling of 120130030022004 in words is "one hundred twenty trillion, one hundred thirty billion, thirty million, twenty-two thousand, four".