123103262739072 has 1536 divisors, whose sum is σ = 462952909762560. Its totient is φ = 28081638604800.

The previous prime is 123103262738933. The next prime is 123103262739109. The reversal of 123103262739072 is 270937262301321.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8058070698 + ... + 8058085974.

It is an arithmetic number, because the mean of its divisors is an integer number (301401633960).

Almost surely, 2^{123103262739072} is an apocalyptic number.

123103262739072 is a gapful number since it is divisible by the number (12) 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 123103262739072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231476454881280).

123103262739072 is an abundant number, since it is smaller than the sum of its proper divisors (339849647023488).

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

123103262739072 is a wasteful number, since it uses less digits than its factorization.

123103262739072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15410 (or 15381 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 48.

The spelling of 123103262739072 in words is "one hundred twenty-three trillion, one hundred three billion, two hundred sixty-two million, seven hundred thirty-nine thousand, seventy-two".