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12301320120 = 23358911310193
BaseRepresentation
bin10110111010011011…
…10011111110111000
31011202022002210211220
423131031303332320
5200143114220440
65352351552040
7613560332025
oct133515637670
934668083756
1012301320120
115242857971
12247382b620
13121070545b
14849a5654c
154bee408d0
hex2dd373fb8

12301320120 has 128 divisors (see below), whose sum is σ = 37652558400. Its totient is φ = 3214475264.

The previous prime is 12301320091. The next prime is 12301320133. The reversal of 12301320120 is 2102310321.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12301320120.

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, 1201744 + ... + 1211936.

Almost surely, 212301320120 is an apocalyptic number.

12301320120 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 12301320120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18826279200).

12301320120 is an abundant number, since it is smaller than the sum of its proper divisors (25351238280).

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

12301320120 is a wasteful number, since it uses less digits than its factorization.

12301320120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10409 (or 10405 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 12301320120 its reverse (2102310321), we get a palindrome (14403630441).

The spelling of 12301320120 in words is "twelve billion, three hundred one million, three hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 89 113 120 178 226 267 339 356 445 452 534 565 678 712 890 904 1068 1130 1335 1356 1695 1780 2136 2260 2670 2712 3390 3560 4520 5340 6780 10057 10193 10680 13560 20114 20386 30171 30579 40228 40772 50285 50965 60342 61158 80456 81544 100570 101930 120684 122316 150855 152895 201140 203860 241368 244632 301710 305790 402280 407720 603420 611580 907177 1151809 1206840 1223160 1814354 2303618 2721531 3455427 3628708 4535885 4607236 5443062 5759045 6910854 7257416 9071770 9214472 10886124 11518090 13607655 13821708 17277135 18143540 21772248 23036180 27215310 27643416 34554270 36287080 46072360 54430620 69108540 102511001 108861240 138217080 205022002 307533003 410044004 512555005 615066006 820088008 1025110010 1230132012 1537665015 2050220020 2460264024 3075330030 4100440040 6150660060 12301320120