22134012000 has 384 divisors, whose sum is σ = 76875402240. Its totient is φ = 5551718400.

The previous prime is 22134011983. The next prime is 22134012029. The reversal of 22134012000 is 21043122.

It is a super-2 number, since 2×22134012000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44003749 + ... + 44004251.

It is an arithmetic number, because the mean of its divisors is an integer number (200196360).

Almost surely, 2^22134012000 is an apocalyptic number.

22134012000 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 22134012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38437701120).

22134012000 is an abundant number, since it is smaller than the sum of its proper divisors (54741390240).

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

22134012000 is a wasteful number, since it uses less digits than its factorization.

22134012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 743 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 22134012000 its reverse (21043122), we get a palindrome (22155055122).

The spelling of 22134012000 in words is "twenty-two billion, one hundred thirty-four million, twelve thousand".