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122104008 = 233213191683
BaseRepresentation
bin1110100011100…
…10100011001000
322111202112012200
413101302203020
5222224312013
620041040200
73011603235
oct721624310
9274675180
10122104008
1162a19604
1234a86060
131c3b27c0
141230678c
15aabde73
hex74728c8

122104008 has 96 divisors (see below), whose sum is σ = 358525440. Its totient is φ = 37319040.

The previous prime is 122104001. The next prime is 122104019. The reversal of 122104008 is 800401221.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (122104001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 178435 + ... + 179117.

It is an arithmetic number, because the mean of its divisors is an integer number (3734640).

Almost surely, 2122104008 is an apocalyptic number.

122104008 is a gapful number since it is divisible by the number (18) 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 122104008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179262720).

122104008 is an abundant number, since it is smaller than the sum of its proper divisors (236421432).

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

122104008 is a wasteful number, since it uses less digits than its factorization.

122104008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 899 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 122104008 is about 11050.0682350834. The cubic root of 122104008 is about 496.1084678666.

Adding to 122104008 its reverse (800401221), we get a palindrome (922505229).

The spelling of 122104008 in words is "one hundred twenty-two million, one hundred four thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 191 234 312 382 468 573 683 764 936 1146 1366 1528 1719 2049 2292 2483 2732 3438 4098 4584 4966 5464 6147 6876 7449 8196 8879 9932 12294 13752 14898 16392 17758 19864 22347 24588 26637 29796 35516 44694 49176 53274 59592 71032 79911 89388 106548 130453 159822 178776 213096 260906 319644 391359 521812 639288 782718 1043624 1174077 1565436 1695889 2348154 3130872 3391778 4696308 5087667 6783556 9392616 10175334 13567112 15263001 20350668 30526002 40701336 61052004 122104008