2012112102000 has 2560 divisors, whose sum is σ = 9164725420032. Its totient is φ = 366336000000.

The previous prime is 2012112101981. The next prime is 2012112102017. The reversal of 2012112102000 is 2012112102.

It is a super-2 number, since 2×2012112102000² (a number of 25 digits) contains 22 as substring.

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 511 ways as a sum of consecutive naturals, for example, 18804785947 + ... + 18804786053.

Almost surely, 2^{2012112102000} is an apocalyptic number.

2012112102000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2012112102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4582362710016).

2012112102000 is an abundant number, since it is smaller than the sum of its proper divisors (7152613318032).

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

2012112102000 is a wasteful number, since it uses less digits than its factorization.

2012112102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2012112102000 its reverse (2012112102), we get a palindrome (2014124214102).

2012112102000 divided by its reverse (2012112102) gives a cube (1000 = 10³).

It can be divided in two parts, 2012112 and 102000, that added together give a palindrome (2114112).

The spelling of 2012112102000 in words is "two trillion, twelve billion, one hundred twelve million, one hundred two thousand".