32122400133344 has 96 divisors (see below), whose sum is σ = 64966451397120. Its totient is φ = 15625218150400.

The previous prime is 32122400133337. The next prime is 32122400133359. The reversal of 32122400133344 is 44333100422123.

It is a super-3 number, since 3×32122400133344³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 32122400133344.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3625139474 + ... + 3625148334.

It is an arithmetic number, because the mean of its divisors is an integer number (676733868720).

Almost surely, 2^{32122400133344} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32122400133344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32483225698560).

32122400133344 is an abundant number, since it is smaller than the sum of its proper divisors (32844051263776).

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

32122400133344 is a wasteful number, since it uses less digits than its factorization.

32122400133344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16404 (or 16396 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 32122400133344 its reverse (44333100422123), we get a palindrome (76455500555467).

The spelling of 32122400133344 in words is "thirty-two trillion, one hundred twenty-two billion, four hundred million, one hundred thirty-three thousand, three hundred forty-four".