22234123432400 has 360 divisors, whose sum is σ = 61500373170624. Its totient is φ = 7646437990400.

The previous prime is 22234123432399. The next prime is 22234123432439. The reversal of 22234123432400 is 423432143222.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 801591332 + ... + 801619068.

Almost surely, 2^{22234123432400} is an apocalyptic number.

22234123432400 is a gapful number since it is divisible by the number (20) 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 22234123432400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30750186585312).

22234123432400 is an abundant number, since it is smaller than the sum of its proper divisors (39266249738224).

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

22234123432400 is a wasteful number, since it uses less digits than its factorization.

22234123432400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27967 (or 27867 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 22234123432400 its reverse (423432143222), we get a palindrome (22657555575622).

The spelling of 22234123432400 in words is "twenty-two trillion, two hundred thirty-four billion, one hundred twenty-three million, four hundred thirty-two thousand, four hundred".