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122107804 = 227213172819
BaseRepresentation
bin1110100011100…
…11011110011100
322111202201102021
413101303132130
5222224422204
620041105524
73011620300
oct721633634
9274681367
10122107804
1162a21445
1234a882a4
131c3b4450
1412307d00
15aac0154
hex747379c

122107804 has 72 divisors (see below), whose sum is σ = 283545360. Its totient is φ = 45448704.

The previous prime is 122107763. The next prime is 122107823. The reversal of 122107804 is 408701221.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41907 + ... + 44725.

It is an arithmetic number, because the mean of its divisors is an integer number (3938130).

Almost surely, 2122107804 is an apocalyptic number.

122107804 is a gapful number since it is divisible by the number (14) 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 122107804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141772680).

122107804 is an abundant number, since it is smaller than the sum of its proper divisors (161437556).

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

122107804 is a wasteful number, since it uses less digits than its factorization.

122107804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2867 (or 2858 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 25.

The square root of 122107804 is about 11050.2399973937. The cubic root of 122107804 is about 496.1136088614.

The spelling of 122107804 in words is "one hundred twenty-two million, one hundred seven thousand, eight hundred four".

Divisors: 1 2 4 7 13 14 17 26 28 34 49 52 68 91 98 119 182 196 221 238 364 442 476 637 833 884 1274 1547 1666 2548 2819 3094 3332 5638 6188 10829 11276 19733 21658 36647 39466 43316 47923 73294 78932 95846 138131 146588 191692 256529 276262 335461 513058 552524 622999 670922 1026116 1245998 1341844 1795703 2348227 2491996 3591406 4360993 4696454 7182812 8721986 9392908 17443972 30526951 61053902 122107804