123333113112000 has 448 divisors, whose sum is σ = 444594593664000. Its totient is φ = 29876977152000.

The previous prime is 123333113111941. The next prime is 123333113112017. The reversal of 123333113112000 is 211311333321.

It is a super-2 number, since 2×123333113112000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 360717126 + ... + 361058874.

Almost surely, 2^{123333113112000} is an apocalyptic number.

123333113112000 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 123333113112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222297296832000).

123333113112000 is an abundant number, since it is smaller than the sum of its proper divisors (321261480552000).

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

123333113112000 is a wasteful number, since it uses less digits than its factorization.

123333113112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343157 (or 343137 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 123333113112000 its reverse (211311333321), we get a palindrome (123544424445321).

The spelling of 123333113112000 in words is "one hundred twenty-three trillion, three hundred thirty-three billion, one hundred thirteen million, one hundred twelve thousand".