123013332420 has 192 divisors, whose sum is σ = 386339659776. Its totient is φ = 28982776320.

The previous prime is 123013332419. The next prime is 123013332433. The reversal of 123013332420 is 24233310321.

It is a super-4 number, since 4×123013332420⁴ (a number of 45 digits) contains 4444 as substring.

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, 26932977 + ... + 26937543.

It is an arithmetic number, because the mean of its divisors is an integer number (2012185728).

Almost surely, 2^123013332420 is an apocalyptic number.

123013332420 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 123013332420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193169829888).

123013332420 is an abundant number, since it is smaller than the sum of its proper divisors (263326327356).

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

123013332420 is a wasteful number, since it uses less digits than its factorization.

123013332420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5730 (or 5728 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 123013332420 its reverse (24233310321), we get a palindrome (147246642741).

The spelling of 123013332420 in words is "one hundred twenty-three billion, thirteen million, three hundred thirty-two thousand, four hundred twenty".