23330133012000 has 192 divisors, whose sum is σ = 76435497186048. Its totient is φ = 6220881920000.

The previous prime is 23330133011971. The next prime is 23330133012013. The reversal of 23330133012000 is 21033103332.

It is a super-2 number, since 2×23330133012000² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 168902965 + ... + 169041035.

It is an arithmetic number, because the mean of its divisors is an integer number (398101547844).

Almost surely, 2^{23330133012000} is an apocalyptic number.

23330133012000 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 23330133012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38217748593024).

23330133012000 is an abundant number, since it is smaller than the sum of its proper divisors (53105364174048).

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

23330133012000 is a wasteful number, since it uses less digits than its factorization.

23330133012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152180 (or 152162 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 23330133012000 its reverse (21033103332), we get a palindrome (23351166115332).

The spelling of 23330133012000 in words is "twenty-three trillion, three hundred thirty billion, one hundred thirty-three million, twelve thousand".