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122104818 = 232113531747
BaseRepresentation
bin1110100011100…
…10101111110010
322111202120022200
413101302233302
5222224323233
620041044030
73011605503
oct721625762
9274676280
10122104818
1162a1a180
1234a86616
131c3b2c94
1412306baa
15aabe313
hex7472bf2

122104818 has 48 divisors (see below), whose sum is σ = 289594656. Its totient is φ = 36875520.

The previous prime is 122104799. The next prime is 122104831. The reversal of 122104818 is 818401221.

It is a junction number, because it is equal to n+sod(n) for n = 122104791 and 122104800.

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, 69021 + ... + 70767.

It is an arithmetic number, because the mean of its divisors is an integer number (6033222).

Almost surely, 2122104818 is an apocalyptic number.

122104818 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122104818, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144797328).

122104818 is an abundant number, since it is smaller than the sum of its proper divisors (167489838).

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

122104818 is a wasteful number, since it uses less digits than its factorization.

122104818 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2119 (or 2116 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 122104818 is about 11050.1048863800. The cubic root of 122104818 is about 496.1095648739.

The spelling of 122104818 in words is "one hundred twenty-two million, one hundred four thousand, eight hundred eighteen".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 353 706 1059 1747 2118 3177 3494 3883 5241 6354 7766 10482 11649 15723 19217 23298 31446 34947 38434 57651 69894 115302 172953 345906 616691 1233382 1850073 3700146 5550219 6783601 11100438 13567202 20350803 40701606 61052409 122104818