2112135540140 has 48 divisors (see below), whose sum is σ = 4511556403200. Its totient is φ = 830370032832.

The previous prime is 2112135540121. The next prime is 2112135540157. The reversal of 2112135540140 is 410455312112.

It is a happy number.

It is a super-2 number, since 2×2112135540140² (a number of 25 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 5865587 + ... + 6215253.

It is an arithmetic number, because the mean of its divisors is an integer number (93990758400).

Almost surely, 2^{2112135540140} is an apocalyptic number.

2112135540140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2112135540140 is an abundant number, since it is smaller than the sum of its proper divisors (2399420863060).

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

2112135540140 is a wasteful number, since it uses less digits than its factorization.

2112135540140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354854 (or 354852 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

The spelling of 2112135540140 in words is "two trillion, one hundred twelve billion, one hundred thirty-five million, five hundred forty thousand, one hundred forty".