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121375692 = 223323131373
BaseRepresentation
bin1110011110000…
…00101111001100
322110101112011000
413033000233030
5222033010232
620013300300
73002450664
oct717005714
9273345130
10121375692
1162571399
1234794690
131c1b9149
14121971a4
15a9c827c
hex73c0bcc

121375692 has 96 divisors (see below), whose sum is σ = 331752960. Its totient is φ = 38301120.

The previous prime is 121375603. The next prime is 121375697. The reversal of 121375692 is 296573121.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (22680) is a multiple of the sum of its prime factors (540).

It is not an unprimeable number, because it can be changed into a prime (121375697) 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, 325218 + ... + 325590.

It is an arithmetic number, because the mean of its divisors is an integer number (3455760).

Almost surely, 2121375692 is an apocalyptic number.

121375692 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 121375692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165876480).

121375692 is an abundant number, since it is smaller than the sum of its proper divisors (210377268).

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

121375692 is a wasteful number, since it uses less digits than its factorization.

121375692 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 532 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 121375692 is about 11017.0636741375. The cubic root of 121375692 is about 495.1201177734.

The spelling of 121375692 in words is "one hundred twenty-one million, three hundred seventy-five thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 108 131 138 207 262 276 373 393 414 524 621 746 786 828 1119 1179 1242 1492 1572 2238 2358 2484 3013 3357 3537 4476 4716 6026 6714 7074 8579 9039 10071 12052 13428 14148 17158 18078 20142 25737 27117 34316 36156 40284 48863 51474 54234 77211 81351 97726 102948 108468 146589 154422 162702 195452 231633 293178 308844 325404 439767 463266 586356 879534 926532 1123849 1319301 1759068 2247698 2638602 3371547 4495396 5277204 6743094 10114641 13486188 20229282 30343923 40458564 60687846 121375692