2012020212000 has 96 divisors (see below), whose sum is σ = 6591378253824. Its totient is φ = 536538720000.

The previous prime is 2012020211953. The next prime is 2012020212119. The reversal of 2012020212000 is 2120202102.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×2012020212000³ (a number of 38 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83822176 + ... + 83846175.

It is an arithmetic number, because the mean of its divisors is an integer number (68660190144).

Almost surely, 2^{2012020212000} is an apocalyptic number.

2012020212000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2012020212000 is an abundant number, since it is smaller than the sum of its proper divisors (4579358041824).

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

2012020212000 is a wasteful number, since it uses less digits than its factorization.

2012020212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167668379 (or 167668361 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 2012020212000 its reverse (2120202102), we get a palindrome (2014140414102).

The spelling of 2012020212000 in words is "two trillion, twelve billion, twenty million, two hundred twelve thousand".