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12220011102120 = 2335318821372401
BaseRepresentation
bin1011000111010011000101…
…1010111011111110101000
31121021012222120210002210020
42301310301122323332220
53100203040320231440
641553443503320440
72400603160353063
oct261646132737650
947235876702706
1012220011102120
113991528768228
1214543a0bb0120
136a845a7a2a93
143036476358da
15162d0d0a53d0
hexb1d316bbfa8

12220011102120 has 128 divisors (see below), whose sum is σ = 37847006714880. Its totient is φ = 3153185280000.

The previous prime is 12220011102113. The next prime is 12220011102137. The reversal of 12220011102120 is 2120111002221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12220011102120.

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, 32627920 + ... + 33000320.

It is an arithmetic number, because the mean of its divisors is an integer number (295679739960).

Almost surely, 212220011102120 is an apocalyptic number.

12220011102120 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 12220011102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18923503357440).

12220011102120 is an abundant number, since it is smaller than the sum of its proper divisors (25626995612760).

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

12220011102120 is a wasteful number, since it uses less digits than its factorization.

12220011102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381267 (or 381263 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12220011102120 its reverse (2120111002221), we get a palindrome (14340122104341).

The spelling of 12220011102120 in words is "twelve trillion, two hundred twenty billion, eleven million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 744 930 1240 1860 3720 8821 17642 26463 35284 44105 52926 70568 88210 105852 132315 176420 211704 264630 273451 352840 372401 529260 546902 744802 820353 1058520 1093804 1117203 1367255 1489604 1640706 1862005 2187608 2234406 2734510 2979208 3281412 3724010 4101765 4468812 5469020 5586015 6562824 7448020 8203530 8937624 10938040 11172030 11544431 14896040 16407060 22344060 23088862 32814120 34633293 44688120 46177724 57722155 69266586 92355448 115444310 138533172 173166465 230888620 277066344 346332930 461777240 692665860 1385331720 3284949221 6569898442 9854847663 13139796884 16424746105 19709695326 26279593768 32849492210 39419390652 49274238315 65698984420 78838781304 98548476630 101833425851 131397968840 197096953260 203666851702 305500277553 394193906520 407333703404 509167129255 611000555106 814667406808 1018334258510 1222001110212 1527501387765 2036668517020 2444002220424 3055002775530 4073337034040 6110005551060 12220011102120