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12242120440 = 23511377310301
BaseRepresentation
bin10110110011010111…
…11110111011111000
31011121011201011011011
423121223332323320
5200032440323230
65342435043304
7612241210144
oct133153767370
934534634134
1012242120440
1152123a3310
122457a40534
131201378864
14841c46224
154b9b49e2a
hex2d9afeef8

12242120440 has 128 divisors (see below), whose sum is σ = 31286761920. Its totient is φ = 4271616000.

The previous prime is 12242120411. The next prime is 12242120459. The reversal of 12242120440 is 4402124221.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1183290 + ... + 1193590.

Almost surely, 212242120440 is an apocalyptic number.

12242120440 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 12242120440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15643380960).

12242120440 is an abundant number, since it is smaller than the sum of its proper divisors (19044641480).

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

12242120440 is a wasteful number, since it uses less digits than its factorization.

12242120440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10433 (or 10429 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 12242120440 its reverse (4402124221), we get a palindrome (16644244661).

The spelling of 12242120440 in words is "twelve billion, two hundred forty-two million, one hundred twenty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 37 40 44 55 73 74 88 110 146 148 185 220 292 296 365 370 407 440 584 730 740 803 814 1460 1480 1606 1628 2035 2701 2920 3212 3256 4015 4070 5402 6424 8030 8140 10301 10804 13505 16060 16280 20602 21608 27010 29711 32120 41204 51505 54020 59422 82408 103010 108040 113311 118844 148555 206020 226622 237688 297110 381137 412040 453244 566555 594220 751973 762274 906488 1133110 1188440 1503946 1524548 1905685 2266220 3007892 3049096 3759865 3811370 4192507 4532440 6015784 7519730 7622740 8271703 8385014 15039460 15245480 16543406 16770028 20962535 27823001 30078920 33086812 33540056 41358515 41925070 55646002 66173624 82717030 83850140 111292004 139115005 165434060 167700280 222584008 278230010 306053011 330868120 556460020 612106022 1112920040 1224212044 1530265055 2448424088 3060530110 6121060220 12242120440