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1312331201220 = 2235132157824339
BaseRepresentation
bin10011000110001101000…
…010001111101011000100
311122110100121200101020110
4103012031002033223010
5133000123241414340
62442513204033020
7163545535105344
oct23061502175304
94573317611213
101312331201220
11466613829186
12192409092770
13969a1a62700
144773517cd24
152420b7b9680
hex1318d08fac4

1312331201220 has 144 divisors (see below), whose sum is σ = 4004274415680. Its totient is φ = 320977433088.

The previous prime is 1312331201173. The next prime is 1312331201227. The reversal of 1312331201220 is 221021332131.

It is not an unprimeable number, because it can be changed into a prime (1312331201227) 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, 1179811 + ... + 2004149.

It is an arithmetic number, because the mean of its divisors is an integer number (27807461220).

Almost surely, 21312331201220 is an apocalyptic number.

1312331201220 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 1312331201220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2002137207840).

1312331201220 is an abundant number, since it is smaller than the sum of its proper divisors (2691943214460).

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

1312331201220 is a wasteful number, since it uses less digits than its factorization.

1312331201220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824534 (or 824519 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 1312331201220 its reverse (221021332131), we get a palindrome (1533352533351).

The spelling of 1312331201220 in words is "one trillion, three hundred twelve billion, three hundred thirty-one million, two hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 157 169 195 260 314 338 390 471 507 628 676 780 785 845 942 1014 1570 1690 1884 2028 2041 2355 2535 3140 3380 4082 4710 5070 6123 8164 9420 10140 10205 12246 20410 24492 26533 30615 40820 53066 61230 79599 106132 122460 132665 159198 265330 318396 397995 530660 795990 824339 1591980 1648678 2473017 3297356 4121695 4946034 8243390 9892068 10716407 12365085 16486780 21432814 24730170 32149221 42865628 49460340 53582035 64298442 107164070 128596884 129421223 139313291 160746105 214328140 258842446 278626582 321492210 388263669 417939873 517684892 557253164 642984420 647106115 696566455 776527338 835879746 1294212230 1393132910 1553054676 1671759492 1682475899 1941318345 2089699365 2588424460 2786265820 3364951798 3882636690 4179398730 5047427697 6729903596 7765273380 8358797460 8412379495 10094855394 16824758990 20189710788 21872186687 25237138485 33649517980 43744373374 50474276970 65616560061 87488746748 100948553940 109360933435 131233120122 218721866870 262466240244 328082800305 437443733740 656165600610 1312331201220