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12210311120 = 245738535659
BaseRepresentation
bin10110101111100101…
…01000111111010000
31011111221212001222012
423113302220333100
5200001314423440
65335341202052
7611403634460
oct132762507720
934457761865
1012210311120
1151a6447517
122449260328
1311c78bc187
1483b925ba0
154b6e64e65
hex2d7ca8fd0

12210311120 has 80 divisors (see below), whose sum is σ = 32458696320. Its totient is φ = 4184566272.

The previous prime is 12210311111. The next prime is 12210311129. The reversal of 12210311120 is 2111301221.

It is an interprime number because it is at equal distance from previous prime (12210311111) and next prime (12210311129).

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

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 12210311095 and 12210311104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12210311129) by changing a digit.

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, 2154851 + ... + 2160509.

It is an arithmetic number, because the mean of its divisors is an integer number (405733704).

Almost surely, 212210311120 is an apocalyptic number.

12210311120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12210311120 is an abundant number, since it is smaller than the sum of its proper divisors (20248385200).

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

12210311120 is a wasteful number, since it uses less digits than its factorization.

12210311120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9532 (or 9526 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 12210311120 its reverse (2111301221), we get a palindrome (14321612341).

The spelling of 12210311120 in words is "twelve billion, two hundred ten million, three hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 3853 5659 7706 11318 15412 19265 22636 26971 28295 30824 38530 39613 45272 53942 56590 61648 77060 79226 90544 107884 113180 134855 154120 158452 198065 215768 226360 269710 308240 316904 396130 431536 452720 539420 633808 792260 1078840 1584520 2157680 3169040 21804127 43608254 87216508 109020635 152628889 174433016 218041270 305257778 348866032 436082540 610515556 763144445 872165080 1221031112 1526288890 1744330160 2442062224 3052577780 6105155560 12210311120