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121993656 = 23323613623
BaseRepresentation
bin1110100010101…
…11100110111000
322111112220211120
413101113212320
5222212244111
620034425240
73010633431
oct721274670
9274486746
10121993656
1162953704
1234a32220
131c3744c5
14122b8488
15aa9b406
hex74579b8

121993656 has 64 divisors (see below), whose sum is σ = 323550720. Its totient is φ = 38248320.

The previous prime is 121993643. The next prime is 121993673. The reversal of 121993656 is 656399121.

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, 31861 + ... + 35483.

It is an arithmetic number, because the mean of its divisors is an integer number (5055480).

Almost surely, 2121993656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121993656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161775360).

121993656 is an abundant number, since it is smaller than the sum of its proper divisors (201557064).

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

121993656 is a wasteful number, since it uses less digits than its factorization.

121993656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3716 (or 3712 counting only the distinct ones).

The product of its digits is 87480, while the sum is 42.

The square root of 121993656 is about 11045.0738340674. The cubic root of 121993656 is about 495.9589694641.

It can be divided in two parts, 12199 and 3656, that multiplied together give a palindrome (44599544).

The spelling of 121993656 in words is "one hundred twenty-one million, nine hundred ninety-three thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 23 24 46 61 69 92 122 138 183 184 244 276 366 488 552 732 1403 1464 2806 3623 4209 5612 7246 8418 10869 11224 14492 16836 21738 28984 33672 43476 83329 86952 166658 221003 249987 333316 442006 499974 663009 666632 884012 999948 1326018 1768024 1999896 2652036 5083069 5304072 10166138 15249207 20332276 30498414 40664552 60996828 121993656