1012111023120 has 80 divisors (see below), whose sum is σ = 3144691524480. Its totient is φ = 269281446912.

The previous prime is 1012111023107. The next prime is 1012111023137. The reversal of 1012111023120 is 213201112101.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1012111023120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4697749 + ... + 4908468.

It is an arithmetic number, because the mean of its divisors is an integer number (39308644056).

Almost surely, 2^{1012111023120} is an apocalyptic number.

1012111023120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012111023120 is an abundant number, since it is smaller than the sum of its proper divisors (2132580501360).

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

1012111023120 is a wasteful number, since it uses less digits than its factorization.

1012111023120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9606672 (or 9606666 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 1012111023120 its reverse (213201112101), we get a palindrome (1225312135221).

The spelling of 1012111023120 in words is "one trillion, twelve billion, one hundred eleven million, twenty-three thousand, one hundred twenty".