20230122132000 has 864 divisors, whose sum is σ = 79156956361392. Its totient is φ = 4889364480000.

The previous prime is 20230122131983. The next prime is 20230122132013. The reversal of 20230122132000 is 23122103202.

20230122132000 is a `hidden beast` number, since 20 + 2 + 301 + 2 + 21 + 320 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 186199154064 + 20043922977936 = 431508^2 + 4477044^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1467965110 + ... + 1467978890.

Almost surely, 2^{20230122132000} is an apocalyptic number.

20230122132000 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 20230122132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39578478180696).

20230122132000 is an abundant number, since it is smaller than the sum of its proper divisors (58926834229392).

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

20230122132000 is a wasteful number, since it uses less digits than its factorization.

20230122132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14171 (or 14139 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 20230122132000 its reverse (23122103202), we get a palindrome (20253244235202).

The spelling of 20230122132000 in words is "twenty trillion, two hundred thirty billion, one hundred twenty-two million, one hundred thirty-two thousand".