22451312000 has 576 divisors, whose sum is σ = 66565942560. Its totient is φ = 7511961600.

The previous prime is 22451311999. The next prime is 22451312083. The reversal of 22451312000 is 21315422.

It is a super-2 number, since 2×22451312000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 976143989 + ... + 976144011.

Almost surely, 2^22451312000 is an apocalyptic number.

22451312000 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 22451312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33282971280).

22451312000 is an abundant number, since it is smaller than the sum of its proper divisors (44114630560).

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

22451312000 is a wasteful number, since it uses less digits than its factorization.

22451312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 22451312000 its reverse (21315422), we get a palindrome (22472627422).

The spelling of 22451312000 in words is "twenty-two billion, four hundred fifty-one million, three hundred twelve thousand".