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12222222120 = 2332591936943
BaseRepresentation
bin10110110001000000…
…00100111100101000
31011112210021012210100
423120200010330220
5200012342101440
65340444345400
7611610113433
oct133040047450
934483235710
1012222222120
115202142419
122451245260
1311ca1cc7c4
1483d34681a
154b8019230
hex2d8804f28

12222222120 has 96 divisors (see below), whose sum is σ = 39766521600. Its totient is φ = 3255624576.

The previous prime is 12222222119. The next prime is 12222222191. The reversal of 12222222120 is 2122222221.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12222222093 and 12222222102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 312369 + ... + 349311.

It is an arithmetic number, because the mean of its divisors is an integer number (414234600).

Almost surely, 212222222120 is an apocalyptic number.

12222222120 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 12222222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19883260800).

12222222120 is an abundant number, since it is smaller than the sum of its proper divisors (27544299480).

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

12222222120 is a wasteful number, since it uses less digits than its factorization.

12222222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37879 (or 37872 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 12222222120 its reverse (2122222221), we get a palindrome (14344444341).

The spelling of 12222222120 in words is "twelve billion, two hundred twenty-two million, two hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 919 1838 2757 3676 4595 5514 7352 8271 9190 11028 13785 16542 18380 22056 27570 33084 36760 36943 41355 55140 66168 73886 82710 110280 110829 147772 165420 184715 221658 295544 330840 332487 369430 443316 554145 664974 738860 886632 1108290 1329948 1477720 1662435 2216580 2659896 3324870 4433160 6649740 13299480 33950617 67901234 101851851 135802468 169753085 203703702 271604936 305555553 339506170 407407404 509259255 611111106 679012340 814814808 1018518510 1222222212 1358024680 1527777765 2037037020 2444444424 3055555530 4074074040 6111111060 12222222120