420013144332012 has 96 divisors (see below), whose sum is σ = 1241886853154304. Its totient is φ = 107305891660800.

The previous prime is 420013144332011. The next prime is 420013144332037. The reversal of 420013144332012 is 210233441310024.

It is a super-2 number, since 2×420013144332012² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (420013144332011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3725842653 + ... + 3725955380.

It is an arithmetic number, because the mean of its divisors is an integer number (12936321387024).

Almost surely, 2^{420013144332012} is an apocalyptic number.

420013144332012 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

420013144332012 is an abundant number, since it is smaller than the sum of its proper divisors (821873708822292).

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

420013144332012 is a wasteful number, since it uses less digits than its factorization.

420013144332012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7451798119 (or 7451798117 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 420013144332012 its reverse (210233441310024), we get a palindrome (630246585642036).

The spelling of 420013144332012 in words is "four hundred twenty trillion, thirteen billion, one hundred forty-four million, three hundred thirty-two thousand, twelve".