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1220442459120 = 243355171109267
BaseRepresentation
bin10001110000101000000…
…010100000101111110000
311022200011201210122001000
4101300220002200233300
5124443431232142440
62332355153242000
7154113462511143
oct21605002405760
94280151718030
101220442459120
1143064aa51205
12178643863300
138b11984bb71
14430d94a805a
1521b2e705730
hex11c280a0bf0

1220442459120 has 160 divisors (see below), whose sum is σ = 4204597674240. Its totient is φ = 325385406720.

The previous prime is 1220442459107. The next prime is 1220442459211. The reversal of 1220442459120 is 219542440221.

1220442459120 is a `hidden beast` number, since 1 + 2 + 2 + 0 + 4 + 42 + 4 + 591 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 11114727 + ... + 11223993.

It is an arithmetic number, because the mean of its divisors is an integer number (26278735464).

Almost surely, 21220442459120 is an apocalyptic number.

1220442459120 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 1220442459120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2102298837120).

1220442459120 is an abundant number, since it is smaller than the sum of its proper divisors (2984155215120).

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

1220442459120 is a wasteful number, since it uses less digits than its factorization.

1220442459120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114460 (or 114448 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 1220442459120 its reverse (219542440221), we get a palindrome (1439984899341).

The spelling of 1220442459120 in words is "one trillion, two hundred twenty billion, four hundred forty-two million, four hundred fifty-nine thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 5171 10342 15513 20684 25855 31026 41368 46539 51710 62052 77565 82736 93078 103420 109267 124104 139617 155130 186156 206840 218534 232695 248208 279234 310260 327801 372312 413680 437068 465390 546335 558468 620520 655602 698085 744624 874136 930780 983403 1092670 1116936 1241040 1311204 1396170 1639005 1748272 1861560 1966806 2185340 2233872 2622408 2792340 2950209 3278010 3723120 3933612 4370680 4917015 5244816 5584680 5900418 6556020 7867224 8741360 9834030 11169360 11800836 13112040 14751045 15734448 19668060 23601672 26224080 29502090 39336120 47203344 59004180 78672240 118008360 236016720 565019657 1130039314 1695058971 2260078628 2825098285 3390117942 4520157256 5085176913 5650196570 6780235884 8475294855 9040314512 10170353826 11300393140 13560471768 15255530739 16950589710 20340707652 22600786280 25425884565 27120943536 30511061478 33901179420 40681415304 45201572560 50851769130 61022122956 67802358840 76277653695 81362830608 101703538260 122044245912 135604717680 152555307390 203407076520 244088491824 305110614780 406814153040 610221229560 1220442459120