2012012013024 has 72 divisors (see below), whose sum is σ = 6161786801352. Its totient is φ = 619080618240.

The previous prime is 2012012013007. The next prime is 2012012013029. The reversal of 2012012013024 is 4203102102102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-4 number, since 4×2012012013024⁴ (a number of 50 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2012012012988 and 2012012013006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012012013029) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 268694442 + ... + 268701929.

It is an arithmetic number, because the mean of its divisors is an integer number (85580372241).

Almost surely, 2^{2012012013024} is an apocalyptic number.

2012012013024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2012012013024 is an abundant number, since it is smaller than the sum of its proper divisors (4149774788328).

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

2012012013024 is a wasteful number, since it uses less digits than its factorization.

2012012013024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537396400 (or 537396389 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 2012012013024 its reverse (4203102102102), we get a palindrome (6215114115126).

The spelling of 2012012013024 in words is "two trillion, twelve billion, twelve million, thirteen thousand, twenty-four".