1111142400120 has 96 divisors (see below), whose sum is σ = 3632087066400. Its totient is φ = 294591879936.

The previous prime is 1111142400083. The next prime is 1111142400127. The reversal of 1111142400120 is 210042411111.

1111142400120 is a `hidden beast` number, since 1 + 1 + 1 + 1 + 142 + 400 + 120 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1111142400093 and 1111142400102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1111142400127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8858260 + ... + 8982819.

It is an arithmetic number, because the mean of its divisors is an integer number (37834240275).

Almost surely, 2^{1111142400120} is an apocalyptic number.

1111142400120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1111142400120 is an abundant number, since it is smaller than the sum of its proper divisors (2520944666280).

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

1111142400120 is a wasteful number, since it uses less digits than its factorization.

1111142400120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17841269 (or 17841262 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 1111142400120 its reverse (210042411111), we get a palindrome (1321184811231).

The spelling of 1111142400120 in words is "one trillion, one hundred eleven billion, one hundred forty-two million, four hundred thousand, one hundred twenty".