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122107056 = 24317151991
BaseRepresentation
bin1110100011100…
…11010010110000
322111202200101120
413101303102300
5222224411211
620041102240
73011615151
oct721632260
9274680346
10122107056
1162a20925
1234a87980
131c3b3cc6
1412307928
15aabed06
hex74734b0

122107056 has 80 divisors (see below), whose sum is σ = 336549888. Its totient is φ = 38016000.

The previous prime is 122107043. The next prime is 122107099. The reversal of 122107056 is 650701221.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122721 + ... + 123711.

Almost surely, 2122107056 is an apocalyptic number.

122107056 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 122107056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168274944).

122107056 is an abundant number, since it is smaller than the sum of its proper divisors (214442832).

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

122107056 is a wasteful number, since it uses less digits than its factorization.

122107056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1170 (or 1164 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 122107056 is about 11050.2061519231. The cubic root of 122107056 is about 496.1125958393.

Adding to 122107056 its reverse (650701221), we get a palindrome (772808277).

The spelling of 122107056 in words is "one hundred twenty-two million, one hundred seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 151 204 272 302 408 453 604 816 906 991 1208 1812 1982 2416 2567 2973 3624 3964 5134 5946 7248 7701 7928 10268 11892 15402 15856 16847 20536 23784 30804 33694 41072 47568 50541 61608 67388 101082 123216 134776 149641 202164 269552 299282 404328 448923 598564 808656 897846 1197128 1795692 2394256 2543897 3591384 5087794 7182768 7631691 10175588 15263382 20351176 30526764 40702352 61053528 122107056