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122301696 = 2831131467
BaseRepresentation
bin1110100101000…
…10110100000000
322112010120101110
413102202310000
5222302123241
620045203320
73013355466
oct722426400
9275116343
10122301696
1163044090
1234b60540
131c45178a
1412358836
15ab0c816
hex74a2d00

122301696 has 144 divisors (see below), whose sum is σ = 367331328. Its totient is φ = 35788800.

The previous prime is 122301691. The next prime is 122301701. The reversal of 122301696 is 696103221.

It is an interprime number because it is at equal distance from previous prime (122301691) and next prime (122301701).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122301691) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 261655 + ... + 262121.

It is an arithmetic number, because the mean of its divisors is an integer number (2550912).

Almost surely, 2122301696 is an apocalyptic number.

122301696 is a gapful number since it is divisible by the number (16) 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 122301696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183665664).

122301696 is an abundant number, since it is smaller than the sum of its proper divisors (245029632).

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

122301696 is a wasteful number, since it uses less digits than its factorization.

122301696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 122301696 is about 11059.0097205853. The cubic root of 122301696 is about 496.3760588924.

The spelling of 122301696 in words is "one hundred twenty-two million, three hundred one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 32 33 44 48 62 64 66 88 93 96 124 128 132 176 186 192 248 256 264 341 352 372 384 467 496 528 682 704 744 768 934 992 1023 1056 1364 1401 1408 1488 1868 1984 2046 2112 2728 2802 2816 2976 3736 3968 4092 4224 5137 5456 5604 5952 7472 7936 8184 8448 10274 10912 11208 11904 14477 14944 15411 16368 20548 21824 22416 23808 28954 29888 30822 32736 41096 43431 43648 44832 57908 59776 61644 65472 82192 86862 87296 89664 115816 119552 123288 130944 159247 164384 173724 179328 231632 246576 261888 318494 328768 347448 358656 463264 477741 493152 636988 657536 694896 926528 955482 986304 1273976 1315072 1389792 1853056 1910964 1972608 2547952 2779584 3706112 3821928 3945216 5095904 5559168 7643856 10191808 11118336 15287712 20383616 30575424 40767232 61150848 122301696