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12405771330 = 2354325573761
BaseRepresentation
bin10111000110111000…
…10000110001000010
31012000120122110222020
423203130100301002
5200401334140310
65411002422310
7616266213351
oct134334206102
935016573866
1012405771330
115296809687
1224a2801996
131229246cc4
14859885998
154c91c4170
hex2e3710c42

12405771330 has 64 divisors (see below), whose sum is σ = 30486284928. Its totient is φ = 3229148160.

The previous prime is 12405771311. The next prime is 12405771337. The reversal of 12405771330 is 3317750421.

It is a junction number, because it is equal to n+sod(n) for n = 12405771291 and 12405771300.

It is not an unprimeable number, because it can be changed into a prime (12405771337) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3296650 + ... + 3300410.

It is an arithmetic number, because the mean of its divisors is an integer number (476348202).

Almost surely, 212405771330 is an apocalyptic number.

12405771330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12405771330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15243142464).

12405771330 is an abundant number, since it is smaller than the sum of its proper divisors (18080513598).

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

12405771330 is a wasteful number, since it uses less digits than its factorization.

12405771330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6371.

The product of its (nonzero) digits is 17640, while the sum is 33.

The spelling of 12405771330 in words is "twelve billion, four hundred five million, seven hundred seventy-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 43 86 129 215 258 430 645 1290 2557 3761 5114 7522 7671 11283 12785 15342 18805 22566 25570 37610 38355 56415 76710 109951 112830 161723 219902 323446 329853 485169 549755 659706 808615 970338 1099510 1617230 1649265 2425845 3298530 4851690 9616877 19233754 28850631 48084385 57701262 96168770 144253155 288506310 413525711 827051422 1240577133 2067628555 2481154266 4135257110 6202885665 12405771330