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12211144120 = 2357313139333
BaseRepresentation
bin10110101111101011…
…10100010110111000
31011112000102101122001
423113311310112320
5200002023102440
65335411110344
7611414004160
oct132765642670
934460371561
1012211144120
1151a696634a
1224495a23b4
1311c7b21386
1483baa15a0
154b707bb9a
hex2d7d745b8

12211144120 has 64 divisors (see below), whose sum is σ = 31500630720. Its totient is φ = 4173272064.

The previous prime is 12211144097. The next prime is 12211144133. The reversal of 12211144120 is 2144111221.

It is a happy number.

It is a super-2 number, since 2×122111441202 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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, 17974 + ... + 157306.

It is an arithmetic number, because the mean of its divisors is an integer number (492197355).

Almost surely, 212211144120 is an apocalyptic number.

12211144120 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 12211144120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15750315360).

12211144120 is an abundant number, since it is smaller than the sum of its proper divisors (19289486600).

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

12211144120 is a wasteful number, since it uses less digits than its factorization.

12211144120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139664 (or 139660 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 12211144120 its reverse (2144111221), we get a palindrome (14355255341).

It can be divided in two parts, 1221 and 1144120, that added together give a triangular number (1145341 = T1513).

The spelling of 12211144120 in words is "twelve billion, two hundred eleven million, one hundred forty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 313 626 1252 1565 2191 2504 3130 4382 6260 8764 10955 12520 17528 21910 43820 87640 139333 278666 557332 696665 975331 1114664 1393330 1950662 2786660 3901324 4876655 5573320 7802648 9753310 19506620 39013240 43611229 87222458 174444916 218056145 305278603 348889832 436112290 610557206 872224580 1221114412 1526393015 1744449160 2442228824 3052786030 6105572060 12211144120