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12221202322120 = 2351173380485751
BaseRepresentation
bin1011000111010111100001…
…1011000101001011001000
31121021100001121021100102111
42301311320123011023020
53100213010243301440
641554202015312104
72400644533512511
oct261657033051310
947240047240374
1012221202322120
113991a8a117470
121454673b1b634
136a85ba511a9c
1430371b91ba08
15162d7c9594ea
hexb1d786c52c8

12221202322120 has 64 divisors (see below), whose sum is σ = 30408421299840. Its totient is φ = 4383195840000.

The previous prime is 12221202322073. The next prime is 12221202322157. The reversal of 12221202322120 is 2122320212221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 12221202322091 and 12221202322100.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 190210756 + ... + 190274995.

It is an arithmetic number, because the mean of its divisors is an integer number (475131582810).

Almost surely, 212221202322120 is an apocalyptic number.

12221202322120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12221202322120 is an abundant number, since it is smaller than the sum of its proper divisors (18187218977720).

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

12221202322120 is a wasteful number, since it uses less digits than its factorization.

12221202322120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380485846 (or 380485842 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 12221202322120 its reverse (2122320212221), we get a palindrome (14343522534341).

The spelling of 12221202322120 in words is "twelve trillion, two hundred twenty-one billion, two hundred two million, three hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 73 88 110 146 220 292 365 440 584 730 803 1460 1606 2920 3212 4015 6424 8030 16060 32120 380485751 760971502 1521943004 1902428755 3043886008 3804857510 4185343261 7609715020 8370686522 15219430040 16741373044 20926716305 27775459823 33482746088 41853432610 55550919646 83706865220 111101839292 138877299115 167413730440 222203678584 277754598230 305530058053 555509196460 611060116106 1111018392920 1222120232212 1527650290265 2444240464424 3055300580530 6110601161060 12221202322120