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121082318292 = 223132294098287
BaseRepresentation
bin111000011000100010…
…0011000110111010100
3102120112102202002002010
41300301010120313110
53440434033141132
6131342514144220
711514350503215
oct1606104306724
9376472662063
10121082318292
11473948a2951
121b572282070
13b5584b6bb0
145c08da140c
153239ee76cc
hex1c31118dd4

121082318292 has 96 divisors (see below), whose sum is σ = 306370892800. Its totient is φ = 36998249472.

The previous prime is 121082318221. The next prime is 121082318303. The reversal of 121082318292 is 292813280121.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 121082318292.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14606973 + ... + 14615259.

Almost surely, 2121082318292 is an apocalyptic number.

121082318292 is a gapful number since it is divisible by the number (12) 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 121082318292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153185446400).

121082318292 is an abundant number, since it is smaller than the sum of its proper divisors (185288574508).

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

121082318292 is a wasteful number, since it uses less digits than its factorization.

121082318292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8945 (or 8943 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The spelling of 121082318292 in words is "one hundred twenty-one billion, eighty-two million, three hundred eighteen thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 229 409 458 687 818 916 1227 1374 1636 2454 2748 2977 4908 5317 5954 8287 8931 10634 11908 15951 16574 17862 21268 24861 31902 33148 35724 49722 63804 93661 99444 107731 187322 215462 280983 323193 374644 430924 561966 646386 1123932 1217593 1292772 1897723 2435186 3389383 3652779 3795446 4870372 5693169 6778766 7305558 7590892 10168149 11386338 13557532 14611116 20336298 22772676 24670399 40672596 44061979 49340798 74011197 88123958 98681596 132185937 148022394 176247916 264371874 296044788 528743748 776168707 1552337414 2328506121 3104674828 4657012242 9314024484 10090193191 20180386382 30270579573 40360772764 60541159146 121082318292