123301440035040 has 96 divisors (see below), whose sum is σ = 388401436717056. Its totient is φ = 32880223111680.

The previous prime is 123301440035023. The next prime is 123301440035233. The reversal of 123301440035040 is 40530044103321.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×123301440035040² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 123301440034989 and 123301440035007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122778789 + ... + 123778971.

It is an arithmetic number, because the mean of its divisors is an integer number (4045848299136).

Almost surely, 2^{123301440035040} is an apocalyptic number.

123301440035040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123301440035040 is an abundant number, since it is smaller than the sum of its proper divisors (265099996682016).

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

123301440035040 is a wasteful number, since it uses less digits than its factorization.

123301440035040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1257032 (or 1257024 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 123301440035040 its reverse (40530044103321), we get a palindrome (163831484138361).

The spelling of 123301440035040 in words is "one hundred twenty-three trillion, three hundred one billion, four hundred forty million, thirty-five thousand, forty".