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1312012121220 = 2232537593338963
BaseRepresentation
bin10011000101111010000…
…001000011010010000100
311122102112101021102202200
4103011322001003102010
5132444000100334340
62442421405034500
7163534612011063
oct23057201032204
94572471242680
101312012121220
1146646a7026a9
1219233a255a30
1396950914188
1447704a401da
15241dd78c330
hex1317a043484

1312012121220 has 144 divisors (see below), whose sum is σ = 4156609504320. Its totient is φ = 334644127488.

The previous prime is 1312012121219. The next prime is 1312012121261. The reversal of 1312012121220 is 221212102131.

1312012121220 is a `hidden beast` number, since 1 + 31 + 201 + 212 + 1 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1312012121193 and 1312012121202.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1276542 + ... + 2062421.

It is an arithmetic number, because the mean of its divisors is an integer number (28865343780).

Almost surely, 21312012121220 is an apocalyptic number.

1312012121220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1312012121220 is an abundant number, since it is smaller than the sum of its proper divisors (2844597383100).

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

1312012121220 is a wasteful number, since it uses less digits than its factorization.

1312012121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3339074 (or 3339069 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 1312012121220 its reverse (221212102131), we get a palindrome (1533224223351).

The spelling of 1312012121220 in words is "one trillion, three hundred twelve billion, twelve million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 59 60 74 90 111 118 148 177 180 185 222 236 295 333 354 370 444 531 555 590 666 708 740 885 1062 1110 1180 1332 1665 1770 2124 2183 2220 2655 3330 3540 4366 5310 6549 6660 8732 10620 10915 13098 19647 21830 26196 32745 39294 43660 65490 78588 98235 130980 196470 392940 3338963 6677926 10016889 13355852 16694815 20033778 30050667 33389630 40067556 50084445 60101334 66779260 100168890 120202668 123541631 150253335 196998817 200337780 247083262 300506670 370624893 393997634 494166524 590996451 601013340 617708155 741249786 787995268 984994085 1111874679 1181992902 1235416310 1482499572 1772989353 1853124465 1969988170 2223749358 2363985804 2470832620 2954982255 3545978706 3706248930 3939976340 4447498716 5559373395 5909964510 7091957412 7288956229 7412497860 8864946765 11118746790 11819929020 14577912458 17729893530 21866868687 22237493580 29155824916 35459787060 36444781145 43733737374 65600606061 72889562290 87467474748 109334343435 131201212122 145779124580 218668686870 262402424244 328003030305 437337373740 656006060610 1312012121220