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12210334140 = 22351511936983
BaseRepresentation
bin10110101111100101…
…01110100110111100
31011111221220020112210
423113302232212330
5200001321143030
65335341500420
7611404061544
oct132762564674
934457806483
1012210334140
1151a6462844
122449271710
1311c78c97b4
1483b930324
154b6e6bbb0
hex2d7cae9bc

12210334140 has 96 divisors (see below), whose sum is σ = 34598624256. Its totient is φ = 3217305600.

The previous prime is 12210334117. The next prime is 12210334177. The reversal of 12210334140 is 4143301221.

It is a congruent number.

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, 1745089 + ... + 1752071.

It is an arithmetic number, because the mean of its divisors is an integer number (360402336).

Almost surely, 212210334140 is an apocalyptic number.

12210334140 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 12210334140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17299312128).

12210334140 is an abundant number, since it is smaller than the sum of its proper divisors (22388290116).

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

12210334140 is a wasteful number, since it uses less digits than its factorization.

12210334140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7339 (or 7337 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 12210334140 its reverse (4143301221), we get a palindrome (16353635361).

The spelling of 12210334140 in words is "twelve billion, two hundred ten million, three hundred thirty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 151 193 302 386 453 579 604 755 772 906 965 1158 1510 1812 1930 2265 2316 2895 3020 3860 4530 5790 6983 9060 11580 13966 20949 27932 29143 34915 41898 58286 69830 83796 87429 104745 116572 139660 145715 174858 209490 291430 349716 418980 437145 582860 874290 1054433 1347719 1748580 2108866 2695438 3163299 4043157 4217732 5272165 5390876 6326598 6738595 8086314 10544330 12653196 13477190 15816495 16172628 20215785 21088660 26954380 31632990 40431570 63265980 80863140 203505569 407011138 610516707 814022276 1017527845 1221033414 2035055690 2442066828 3052583535 4070111380 6105167070 12210334140