133023122232000 has 896 divisors, whose sum is σ = 589752072419328. Its totient is φ = 25514919936000.

The previous prime is 133023122231983. The next prime is 133023122232067. The reversal of 133023122232000 is 232221320331.

It is a super-2 number, since 2×133023122232000² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21255454 + ... + 26792546.

It is an arithmetic number, because the mean of its divisors is an integer number (658205437968).

Almost surely, 2^{133023122232000} is an apocalyptic number.

133023122232000 is a gapful number since it is divisible by the number (10) 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 133023122232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294876036209664).

133023122232000 is an abundant number, since it is smaller than the sum of its proper divisors (456728950187328).

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

133023122232000 is a wasteful number, since it uses less digits than its factorization.

133023122232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5537154 (or 5537134 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 133023122232000 its reverse (232221320331), we get a palindrome (133255343552331).

The spelling of 133023122232000 in words is "one hundred thirty-three trillion, twenty-three billion, one hundred twenty-two million, two hundred thirty-two thousand".