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12212101120 = 2135397751
BaseRepresentation
bin10110101111110010…
…11110000000000000
31011112002020000101111
423113321132000000
5200002244213440
65335443413104
7611425101232
oct132771360000
934462200344
1012212101120
1151a745a35a
122449984194
1311c8097b4b
1483bc70252
154b71ba4ea
hex2d7e5e000

12212101120 has 112 divisors (see below), whose sum is σ = 29420198208. Its totient is φ = 4866048000.

The previous prime is 12212101087. The next prime is 12212101127. The reversal of 12212101120 is 2110121221.

It is a self number, because there is not a number n which added to its sum of digits gives 12212101120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12212101127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16260745 + ... + 16261495.

Almost surely, 212212101120 is an apocalyptic number.

12212101120 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 12212101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14710099104).

12212101120 is an abundant number, since it is smaller than the sum of its proper divisors (17208097088).

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

12212101120 is an frugal number, since it uses more digits than its factorization.

12212101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1179 (or 1155 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12212101120 its reverse (2110121221), we get a palindrome (14322222341).

The spelling of 12212101120 in words is "twelve billion, two hundred twelve million, one hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 397 512 640 751 794 1024 1280 1502 1588 1985 2048 2560 3004 3176 3755 3970 4096 5120 6008 6352 7510 7940 8192 10240 12016 12704 15020 15880 20480 24032 25408 30040 31760 40960 48064 50816 60080 63520 96128 101632 120160 127040 192256 203264 240320 254080 298147 384512 406528 480640 508160 596294 769024 813056 961280 1016320 1192588 1490735 1538048 1626112 1922560 2032640 2385176 2981470 3076096 3252224 3845120 4065280 4770352 5962940 6152192 7690240 8130560 9540704 11925880 15380480 16261120 19081408 23851760 30760960 38162816 47703520 76325632 95407040 152651264 190814080 305302528 381628160 610605056 763256320 1221210112 1526512640 2442420224 3053025280 6106050560 12212101120