120110011001000 has 128 divisors (see below), whose sum is σ = 282865535316000. Its totient is φ = 47735405568000.

The previous prime is 120110011000951. The next prime is 120110011001047. The reversal of 120110011001000 is 100110011021.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 72232219094116 + 47877791906884 = 8498954^2 + 6919378^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 200429816 + ... + 201028184.

Almost surely, 2^{120110011001000} is an apocalyptic number.

120110011001000 is a gapful number since it is divisible by the number (10) 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 120110011001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141432767658000).

120110011001000 is an abundant number, since it is smaller than the sum of its proper divisors (162755524315000).

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

120110011001000 is a wasteful number, since it uses less digits than its factorization.

120110011001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599680 (or 599666 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 120110011001000 its reverse (100110011021), we get a palindrome (120210121012021).

The spelling of 120110011001000 in words is "one hundred twenty trillion, one hundred ten billion, eleven million, one thousand".