20123415312000 has 1024 divisors, whose sum is σ = 89567706009600. Its totient is φ = 3859826688000.

The previous prime is 20123415311999. The next prime is 20123415312019. The reversal of 20123415312000 is 21351432102.

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, 47838591 + ... + 48257409.

It is an arithmetic number, because the mean of its divisors is an integer number (87468462900).

Almost surely, 2^{20123415312000} is an apocalyptic number.

20123415312000 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 20123415312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44783853004800).

20123415312000 is an abundant number, since it is smaller than the sum of its proper divisors (69444290697600).

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

20123415312000 is a wasteful number, since it uses less digits than its factorization.

20123415312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418882 (or 418860 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 20123415312000 its reverse (21351432102), we get a palindrome (20144766744102).

The spelling of 20123415312000 in words is "twenty trillion, one hundred twenty-three billion, four hundred fifteen million, three hundred twelve thousand".