20120134300344 has 512 divisors, whose sum is σ = 62320059648000. Its totient is φ = 5975180918784.

The previous prime is 20120134300337. The next prime is 20120134300349. The reversal of 20120134300344 is 44300343102102.

20120134300344 is a `hidden beast` number, since 2 + 0 + 1 + 2 + 0 + 13 + 4 + 300 + 344 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20120134300349) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12520306789 + ... + 12520308395.

It is an arithmetic number, because the mean of its divisors is an integer number (121718866500).

Almost surely, 2^{20120134300344} is an apocalyptic number.

20120134300344 is a gapful number since it is divisible by the number (24) 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 20120134300344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31160029824000).

20120134300344 is an abundant number, since it is smaller than the sum of its proper divisors (42199925347656).

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

20120134300344 is a wasteful number, since it uses less digits than its factorization.

20120134300344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2844 (or 2834 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 20120134300344 its reverse (44300343102102), we get a palindrome (64420477402446).

The spelling of 20120134300344 in words is "twenty trillion, one hundred twenty billion, one hundred thirty-four million, three hundred thousand, three hundred forty-four".