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121838944 = 2519253199
BaseRepresentation
bin1110100001100…
…01110101100000
322111021001121111
413100301311200
5222142321234
620031233104
73006420403
oct720616540
9274231544
10121838944
1162858447
1234978794
131c31bc66
1412277d3a
15aa6a664
hex7431d60

121838944 has 72 divisors (see below), whose sum is σ = 259232400. Its totient is φ = 56339712.

The previous prime is 121838933. The next prime is 121838957. The reversal of 121838944 is 449838121.

It is a junction number, because it is equal to n+sod(n) for n = 121838897 and 121838906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 612157 + ... + 612355.

It is an arithmetic number, because the mean of its divisors is an integer number (3600450).

Almost surely, 2121838944 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 121838944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129616200).

121838944 is an abundant number, since it is smaller than the sum of its proper divisors (137393456).

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

121838944 is a wasteful number, since it uses less digits than its factorization.

121838944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 273 counting only the distinct ones).

The product of its digits is 55296, while the sum is 40.

The square root of 121838944 is about 11038.0679468827. The cubic root of 121838944 is about 495.7492228645.

The spelling of 121838944 in words is "one hundred twenty-one million, eight hundred thirty-eight thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 19 32 38 53 76 106 152 199 212 304 361 398 424 608 722 796 848 1007 1444 1592 1696 2014 2888 3184 3781 4028 5776 6368 7562 8056 10547 11552 15124 16112 19133 21094 30248 32224 38266 42188 60496 71839 76532 84376 120992 143678 153064 168752 200393 287356 306128 337504 400786 574712 612256 801572 1149424 1603144 2298848 3206288 3807467 6412576 7614934 15229868 30459736 60919472 121838944