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122104632 = 233132291709
BaseRepresentation
bin1110100011100…
…10101100111000
322111202120001210
413101302230320
5222224322012
620041043120
73011605116
oct721625470
9274676053
10122104632
1162a1a021
1234a864a0
131c3b2b80
1412306ab6
15aabe23c
hex7472b38

122104632 has 64 divisors (see below), whose sum is σ = 330372000. Its totient is φ = 37384704.

The previous prime is 122104627. The next prime is 122104643. The reversal of 122104632 is 236401221.

It is a junction number, because it is equal to n+sod(n) for n = 122104599 and 122104608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70594 + ... + 72302.

Almost surely, 2122104632 is an apocalyptic number.

122104632 is a gapful number since it is divisible by the number (12) 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 122104632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165186000).

122104632 is an abundant number, since it is smaller than the sum of its proper divisors (208267368).

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

122104632 is a wasteful number, since it uses less digits than its factorization.

122104632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1960 (or 1956 counting only the distinct ones).

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

The square root of 122104632 is about 11050.0964701671. The cubic root of 122104632 is about 496.1093129689.

Adding to 122104632 its reverse (236401221), we get a palindrome (358505853).

The spelling of 122104632 in words is "one hundred twenty-two million, one hundred four thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 229 312 458 687 916 1374 1709 1832 2748 2977 3418 5127 5496 5954 6836 8931 10254 11908 13672 17862 20508 22217 23816 35724 41016 44434 66651 71448 88868 133302 177736 266604 391361 533208 782722 1174083 1565444 2348166 3130888 4696332 5087693 9392664 10175386 15263079 20350772 30526158 40701544 61052316 122104632