123377311680 has 1344 divisors, whose sum is σ = 510144491520. Its totient is φ = 25082265600.

The previous prime is 123377311667. The next prime is 123377311727. The reversal of 123377311680 is 86113773321.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×123377311680² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 1690100124 + ... + 1690100196.

Almost surely, 2^123377311680 is an apocalyptic number.

123377311680 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 123377311680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255072245760).

123377311680 is an abundant number, since it is smaller than the sum of its proper divisors (386767179840).

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

123377311680 is a wasteful number, since it uses less digits than its factorization.

123377311680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The spelling of 123377311680 in words is "one hundred twenty-three billion, three hundred seventy-seven million, three hundred eleven thousand, six hundred eighty".