1001112114000 has 160 divisors (see below), whose sum is σ = 3280497891840. Its totient is φ = 262586688000.

The previous prime is 1001112113987. The next prime is 1001112114133. The reversal of 1001112114000 is 4112111001.

1001112114000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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, 1001640 + ... + 1733639.

It is an arithmetic number, because the mean of its divisors is an integer number (20503111824).

Almost surely, 2^{1001112114000} is an apocalyptic number.

1001112114000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001112114000 is an abundant number, since it is smaller than the sum of its proper divisors (2279385777840).

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

1001112114000 is a wasteful number, since it uses less digits than its factorization.

1001112114000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2735366 (or 2735350 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1001112114000 its reverse (4112111001), we get a palindrome (1005224225001).

The spelling of 1001112114000 in words is "one trillion, one billion, one hundred twelve million, one hundred fourteen thousand".