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121698852 = 2231117193281
BaseRepresentation
bin1110100000011…
…11101000100100
322110222221102220
413100033220210
5222123330402
620024232340
73005265102
oct720175044
9273887386
10121698852
1162772170
123490b6b0
131c2a0272
141223cc72
15aa3ddbc
hex740fa24

121698852 has 96 divisors (see below), whose sum is σ = 330873984. Its totient is φ = 34406400.

The previous prime is 121698851. The next prime is 121698919. The reversal of 121698852 is 258896121.

It is a happy number.

It is a super-2 number, since 2×1216988522 = 29621221156235808, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (121698851) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 432952 + ... + 433232.

It is an arithmetic number, because the mean of its divisors is an integer number (3446604).

Almost surely, 2121698852 is an apocalyptic number.

121698852 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 121698852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165436992).

121698852 is an abundant number, since it is smaller than the sum of its proper divisors (209175132).

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

121698852 is a wasteful number, since it uses less digits than its factorization.

121698852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 507 counting only the distinct ones).

The product of its digits is 69120, while the sum is 42.

The square root of 121698852 is about 11031.7202647638. The cubic root of 121698852 is about 495.5591436960.

The spelling of 121698852 in words is "one hundred twenty-one million, six hundred ninety-eight thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 132 187 193 204 281 374 386 561 562 579 748 772 843 1122 1124 1158 1686 2123 2244 2316 3091 3281 3372 4246 4777 6182 6369 6562 8492 9273 9554 9843 12364 12738 13124 14331 18546 19108 19686 25476 28662 36091 37092 39372 52547 54233 57324 72182 105094 108273 108466 144364 157641 162699 210188 216546 216932 315282 325398 433092 596563 630564 650796 921961 1193126 1789689 1843922 2386252 2765883 3579378 3687844 5531766 7158756 10141571 11063532 20283142 30424713 40566284 60849426 121698852