2112112122000 has 160 divisors (see below), whose sum is σ = 6891492666240. Its totient is φ = 556443865600.

The previous prime is 2112112121971. The next prime is 2112112122013. The reversal of 2112112122000 is 2212112112.

It is a super-2 number, since 2×2112112122000² (a number of 25 digits) contains 22 as substring.

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

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, 1622595 + ... + 2618594.

It is an arithmetic number, because the mean of its divisors is an integer number (43071829164).

Almost surely, 2^{2112112122000} is an apocalyptic number.

2112112122000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2112112122000 is an abundant number, since it is smaller than the sum of its proper divisors (4779380544240).

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

2112112122000 is a wasteful number, since it uses less digits than its factorization.

2112112122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4241298 (or 4241282 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 2112112122000 its reverse (2212112112), we get a palindrome (2114324234112).

The spelling of 2112112122000 in words is "two trillion, one hundred twelve billion, one hundred twelve million, one hundred twenty-two thousand".