134222400312 has 256 divisors, whose sum is σ = 454678963200. Its totient is φ = 31885332480.

The previous prime is 134222400311. The next prime is 134222400329. The reversal of 134222400312 is 213004222431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134222400311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2592988 + ... + 2644244.

It is an arithmetic number, because the mean of its divisors is an integer number (1776089700).

Almost surely, 2^134222400312 is an apocalyptic number.

134222400312 is a gapful number since it is divisible by the number (12) 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 134222400312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227339481600).

134222400312 is an abundant number, since it is smaller than the sum of its proper divisors (320456562888).

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

134222400312 is a wasteful number, since it uses less digits than its factorization.

134222400312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51406 (or 51402 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 134222400312 its reverse (213004222431), we get a palindrome (347226622743).

The spelling of 134222400312 in words is "one hundred thirty-four billion, two hundred twenty-two million, four hundred thousand, three hundred twelve".