120000122010000 has 150 divisors (see below), whose sum is σ = 419657760334670. Its totient is φ = 32000032512000.

The previous prime is 120000122009987. The next prime is 120000122010017. The reversal of 120000122010000 is 10221000021.

120000122010000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 55945134203904 + 64054987806096 = 7479648^2 + 8003436^2 .

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 666577345 + ... + 666757344.

Almost surely, 2^{120000122010000} is an apocalyptic number.

120000122010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120000122010000 is an abundant number, since it is smaller than the sum of its proper divisors (299657638324670).

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

120000122010000 is a wasteful number, since it uses less digits than its factorization.

120000122010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1333334723 (or 1333334699 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 120000122010000 its reverse (10221000021), we get a palindrome (120010343010021).

The spelling of 120000122010000 in words is "one hundred twenty trillion, one hundred twenty-two million, ten thousand".