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1213460667320 = 2351183152321817
BaseRepresentation
bin10001101010000111111…
…001000101101110111000
311022000011011022212012112
4101222013321011232320
5124340131412323240
62325242305231452
7153445454326046
oct21520771055670
94260134285175
101213460667320
11428697a03740
12177215632588
138a57624c905
1442a3612b396
15218717d6665
hex11a87e45bb8

1213460667320 has 128 divisors (see below), whose sum is σ = 3016497335040. Its totient is φ = 435635850240.

The previous prime is 1213460667319. The next prime is 1213460667389. The reversal of 1213460667320 is 237660643121.

It is a super-2 number, since 2×12134606673202 (a number of 25 digits) contains 22 as substring.

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, 55609052 + ... + 55630868.

It is an arithmetic number, because the mean of its divisors is an integer number (23566385430).

Almost surely, 21213460667320 is an apocalyptic number.

1213460667320 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 1213460667320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1508248667520).

1213460667320 is an abundant number, since it is smaller than the sum of its proper divisors (1803036667720).

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

1213460667320 is a wasteful number, since it uses less digits than its factorization.

1213460667320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23445 (or 23441 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 41.

The spelling of 1213460667320 in words is "one trillion, two hundred thirteen billion, four hundred sixty million, six hundred sixty-seven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 83 88 110 166 220 332 415 440 664 830 913 1523 1660 1826 3046 3320 3652 4565 6092 7304 7615 9130 12184 15230 16753 18260 21817 30460 33506 36520 43634 60920 67012 83765 87268 109085 126409 134024 167530 174536 218170 239987 252818 335060 436340 479974 505636 632045 670120 872680 959948 1011272 1199935 1264090 1390499 1810811 1919896 2399870 2528180 2780998 3621622 4799740 5056360 5561996 6952495 7243244 9054055 9599480 11123992 13904990 14486488 18108110 19918921 27809980 33227291 36216220 39837842 55619960 66454582 72432440 79675684 99594605 132909164 159351368 166136455 199189210 265818328 332272910 365500201 398378420 664545820 731000402 796756840 1329091640 1462000804 1827501005 2757865153 2924001608 3655002010 5515730306 7310004020 11031460612 13789325765 14620008040 22062921224 27578651530 30336516683 55157303060 60673033366 110314606120 121346066732 151682583415 242692133464 303365166830 606730333660 1213460667320