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123380997376 = 2871317192863
BaseRepresentation
bin111001011101000010…
…1001001110100000000
3102210110122010001222111
41302322011021310000
54010141013404001
6132402550545104
711625332113420
oct1627205116400
9383418101874
10123380997376
11483643a152a
121bab4068194
13b8337b8a30
145d863a8480
153321c07851
hex1cba149d00

123380997376 has 432 divisors, whose sum is σ = 339117456384. Its totient is φ = 43470618624.

The previous prime is 123380997373. The next prime is 123380997407. The reversal of 123380997376 is 673799083321.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 123380997376.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123380997371) 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, 142967121 + ... + 142967983.

It is an arithmetic number, because the mean of its divisors is an integer number (784994112).

Almost surely, 2123380997376 is an apocalyptic number.

123380997376 is a gapful number since it is divisible by the number (16) 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 123380997376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169558728192).

123380997376 is an abundant number, since it is smaller than the sum of its proper divisors (215736459008).

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

123380997376 is a wasteful number, since it uses less digits than its factorization.

123380997376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 10287648, while the sum is 58.

The spelling of 123380997376 in words is "one hundred twenty-three billion, three hundred eighty million, nine hundred ninety-seven thousand, three hundred seventy-six".