123101890560 has 768 divisors, whose sum is σ = 505662393600. Its totient is φ = 28075622400.

The previous prime is 123101890559. The next prime is 123101890579. The reversal of 123101890560 is 65098101321.

123101890560 is a `hidden beast` number, since 1 + 2 + 3 + 1 + 0 + 1 + 8 + 90 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×123101890560² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51700570 + ... + 51702950.

It is an arithmetic number, because the mean of its divisors is an integer number (658414575).

Almost surely, 2^123101890560 is an apocalyptic number.

123101890560 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 123101890560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252831196800).

123101890560 is an abundant number, since it is smaller than the sum of its proper divisors (382560503040).

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

123101890560 is a wasteful number, since it uses less digits than its factorization.

123101890560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2445 (or 2419 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

Adding to 123101890560 its reverse (65098101321), we get a palindrome (188199991881).

The spelling of 123101890560 in words is "one hundred twenty-three billion, one hundred one million, eight hundred ninety thousand, five hundred sixty".