20133101412000 has 1152 divisors, whose sum is σ = 74514565052928. Its totient is φ = 5143855104000.

The previous prime is 20133101411993. The next prime is 20133101412013. The reversal of 20133101412000 is 21410133102.

20133101412000 is a `hidden beast` number, since 2 + 0 + 13 + 310 + 141 + 200 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 35259371715 + ... + 35259372285.

It is an arithmetic number, because the mean of its divisors is an integer number (64682782164).

Almost surely, 2^{20133101412000} is an apocalyptic number.

20133101412000 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 20133101412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37257282526464).

20133101412000 is an abundant number, since it is smaller than the sum of its proper divisors (54381463640928).

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

20133101412000 is a wasteful number, since it uses less digits than its factorization.

20133101412000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 20133101412000 its reverse (21410133102), we get a palindrome (20154511545102).

The spelling of 20133101412000 in words is "twenty trillion, one hundred thirty-three billion, one hundred one million, four hundred twelve thousand".