111020001012000 has 288 divisors, whose sum is σ = 414747353704320. Its totient is φ = 28047157977600.

The previous prime is 111020001011977. The next prime is 111020001012083. The reversal of 111020001012000 is 210100020111.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 80470972 + ... + 81838971.

It is an arithmetic number, because the mean of its divisors is an integer number (1440094978140).

Almost surely, 2^{111020001012000} is an apocalyptic number.

111020001012000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111020001012000 is an abundant number, since it is smaller than the sum of its proper divisors (303727352692320).

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

111020001012000 is a wasteful number, since it uses less digits than its factorization.

111020001012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162309993 (or 162309972 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 111020001012000 its reverse (210100020111), we get a palindrome (111230101032111).

The spelling of 111020001012000 in words is "one hundred eleven trillion, twenty billion, one million, twelve thousand".