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121499664 = 243111331571
BaseRepresentation
bin1110011110111…
…11000000010000
322110121211012120
413033133000100
5222100442124
620020054240
73003505266
oct717370020
9273554176
10121499664
1162646550
1234834380
131c2306c0
14121ca436
15a9eed79
hex73df010

121499664 has 160 divisors (see below), whose sum is σ = 381308928. Its totient is φ = 32832000.

The previous prime is 121499659. The next prime is 121499669. The reversal of 121499664 is 466994121.

It is an interprime number because it is at equal distance from previous prime (121499659) and next prime (121499669).

It is a super-2 number, since 2×1214996642 = 29524336704225792, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (121499669) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 212499 + ... + 213069.

Almost surely, 2121499664 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 121499664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190654464).

121499664 is an abundant number, since it is smaller than the sum of its proper divisors (259809264).

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

121499664 is a wasteful number, since it uses less digits than its factorization.

121499664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 631 counting only the distinct ones).

The product of its digits is 93312, while the sum is 42.

The square root of 121499664 is about 11022.6886012443. The cubic root of 121499664 is about 495.2886307710.

The spelling of 121499664 in words is "one hundred twenty-one million, four hundred ninety-nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 31 33 39 44 48 52 62 66 78 88 93 104 124 132 143 156 176 186 208 248 264 286 312 341 372 403 429 496 528 571 572 624 682 744 806 858 1023 1142 1144 1209 1364 1488 1612 1713 1716 2046 2284 2288 2418 2728 3224 3426 3432 4092 4433 4568 4836 5456 6281 6448 6852 6864 7423 8184 8866 9136 9672 12562 13299 13704 14846 16368 17701 17732 18843 19344 22269 25124 26598 27408 29692 35402 35464 37686 44538 50248 53103 53196 59384 70804 70928 75372 81653 89076 100496 106206 106392 118768 141608 150744 163306 178152 194711 212412 212784 230113 244959 283216 301488 326612 356304 389422 424824 460226 489918 584133 653224 690339 778844 849648 920452 979836 1168266 1306448 1380678 1557688 1840904 1959672 2336532 2531243 2761356 3115376 3681808 3919344 4673064 5062486 5522712 7593729 9346128 10124972 11045424 15187458 20249944 30374916 40499888 60749832 121499664