123045215040440 has 1152 divisors, whose sum is σ = 373257015909120. Its totient is φ = 36392577661440.

The previous prime is 123045215040439. The next prime is 123045215040467. The reversal of 123045215040440 is 44040512540321.

It is a happy number.

It is a super-3 number, since 3×123045215040440³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 123045215040440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 224945548247 + ... + 224945548793.

It is an arithmetic number, because the mean of its divisors is an integer number (324007826310).

Almost surely, 2^{123045215040440} is an apocalyptic number.

123045215040440 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 123045215040440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186628507954560).

123045215040440 is an abundant number, since it is smaller than the sum of its proper divisors (250211800868680).

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

123045215040440 is a wasteful number, since it uses less digits than its factorization.

123045215040440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 35.

Adding to 123045215040440 its reverse (44040512540321), we get a palindrome (167085727580761).

The spelling of 123045215040440 in words is "one hundred twenty-three trillion, forty-five billion, two hundred fifteen million, forty thousand, four hundred forty".