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12210131122320 = 243561998207057
BaseRepresentation
bin1011000110101110010010…
…0001110011100010010000
31121020021111000212010102110
42301223210201303202100
53100022322031403240
641545131245145320
72400103301045205
oct261534441634220
947207430763373
1012210131122320
11398831877916a
1214524a425b240
136a75449187a1
14302d8b3d5cac
15162930a03c80
hexb1ae4873890

12210131122320 has 80 divisors (see below), whose sum is σ = 37857517142400. Its totient is φ = 3255509317632.

The previous prime is 12210131122307. The next prime is 12210131122333. The reversal of 12210131122320 is 2322113101221.

It is an interprime number because it is at equal distance from previous prime (12210131122307) and next prime (12210131122333).

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2615769 + ... + 5591288.

It is an arithmetic number, because the mean of its divisors is an integer number (473218964280).

Almost surely, 212210131122320 is an apocalyptic number.

12210131122320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12210131122320 is an abundant number, since it is smaller than the sum of its proper divisors (25647386020080).

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

12210131122320 is a wasteful number, since it uses less digits than its factorization.

12210131122320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8213272 (or 8213266 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 12210131122320 its reverse (2322113101221), we get a palindrome (14532244223541).

The spelling of 12210131122320 in words is "twelve trillion, two hundred ten billion, one hundred thirty-one million, one hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 6199 12398 18597 24796 30995 37194 49592 61990 74388 92985 99184 123980 148776 185970 247960 297552 371940 495920 743880 1487760 8207057 16414114 24621171 32828228 41035285 49242342 65656456 82070570 98484684 123105855 131312912 164141140 196969368 246211710 328282280 393938736 492423420 656564560 984846840 1969693680 50875546343 101751092686 152626639029 203502185372 254377731715 305253278058 407004370744 508755463430 610506556116 763133195145 814008741488 1017510926860 1221013112232 1526266390290 2035021853720 2442026224464 3052532780580 4070043707440 6105065561160 12210131122320