123334615040 has 672 divisors, whose sum is σ = 385933675680. Its totient is φ = 37456183296.

The previous prime is 123334615031. The next prime is 123334615049. The reversal of 123334615040 is 40516433321.

It is an interprime number because it is at equal distance from previous prime (123334615031) and next prime (123334615049).

It is a super-2 number, since 2×123334615040² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 123334614988 and 123334615006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123334615049) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 756653999 + ... + 756654161.

It is an arithmetic number, because the mean of its divisors is an integer number (574306065).

Almost surely, 2^123334615040 is an apocalyptic number.

123334615040 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 123334615040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192966837840).

123334615040 is an abundant number, since it is smaller than the sum of its proper divisors (262599060640).

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

123334615040 is a wasteful number, since it uses less digits than its factorization.

123334615040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

The spelling of 123334615040 in words is "one hundred twenty-three billion, three hundred thirty-four million, six hundred fifteen thousand, forty".