120010001331330 has 192 divisors, whose sum is σ = 340745254312320. Its totient is φ = 29063155968000.

The previous prime is 120010001331329. The next prime is 120010001331379. The reversal of 120010001331330 is 33133100010021.

It is a happy number.

120010001331330 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 1 + 0 + 0 + 0 + 1 + 331 + 330 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4638413274 + ... + 4638439146.

It is an arithmetic number, because the mean of its divisors is an integer number (1774714866210).

Almost surely, 2^{120010001331330} is an apocalyptic number.

120010001331330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120010001331330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170372627156160).

120010001331330 is an abundant number, since it is smaller than the sum of its proper divisors (220735252980990).

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

120010001331330 is a wasteful number, since it uses less digits than its factorization.

120010001331330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30577 (or 30574 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 120010001331330 its reverse (33133100010021), we get a palindrome (153143101341351).

The spelling of 120010001331330 in words is "one hundred twenty trillion, ten billion, one million, three hundred thirty-one thousand, three hundred thirty".