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1220312001440 = 25572791970279
BaseRepresentation
bin10001110000100000010…
…000110110101110100000
311022122211122022200202002
4101300200100312232200
5124443144333021230
62332334213143132
7154110316603100
oct21604020665640
94278748280662
101220312001440
11430593347444
1217860802aaa8
138b0c8802c7c
14430c6029200
1521b23036545
hex11c20436ba0

1220312001440 has 144 divisors (see below), whose sum is σ = 3396132230400. Its totient is φ = 413096366592.

The previous prime is 1220312001431. The next prime is 1220312001451. The reversal of 1220312001440 is 441002130221.

It is a super-2 number, since 2×12203120014402 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 365780 + ... + 1604499.

It is an arithmetic number, because the mean of its divisors is an integer number (23584251600).

Almost surely, 21220312001440 is an apocalyptic number.

1220312001440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1220312001440 is an abundant number, since it is smaller than the sum of its proper divisors (2175820228960).

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

1220312001440 is a wasteful number, since it uses less digits than its factorization.

1220312001440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1970387 (or 1970372 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 1220312001440 its reverse (441002130221), we get a palindrome (1661314131661).

The spelling of 1220312001440 in words is "one trillion, two hundred twenty billion, three hundred twelve million, one thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 79 80 98 112 140 158 160 196 224 245 280 316 392 395 490 553 560 632 784 790 980 1106 1120 1264 1568 1580 1960 2212 2528 2765 3160 3871 3920 4424 5530 6320 7742 7840 8848 11060 12640 15484 17696 19355 22120 30968 38710 44240 61936 77420 88480 123872 154840 309680 619360 1970279 3940558 7881116 9851395 13791953 15762232 19702790 27583906 31524464 39405580 55167812 63048928 68959765 78811160 96543671 110335624 137919530 155652041 157622320 193087342 220671248 275839060 311304082 315244640 386174684 441342496 482718355 551678120 622608164 772349368 778260205 965436710 1089564287 1103356240 1245216328 1544698736 1556520410 1930873420 2179128574 2206712480 2490432656 3089397472 3113040820 3861746840 4358257148 4980865312 5447821435 6226081640 7626950009 7723493680 8716514296 10895642870 12452163280 15253900018 15446987360 17433028592 21791285740 24904326560 30507800036 34866057184 38134750045 43582571480 61015600072 76269500090 87165142960 122031200144 152539000180 174330285920 244062400288 305078000360 610156000720 1220312001440