Search a number
-
+
121320358223712 = 2532416138554309
BaseRepresentation
bin11011100101011100011000…
…110110110001111101100000
3120220120010001100201101222020
4123211130120312301331200
5111400203043201124322
61110005445251541440
734361051401000464
oct3345343066617540
9526503040641866
10121320358223712
113572474744717a
12117348465ba880
1352905cb1a411b
1421d5d1830c4a4
15e05c4a9a705c
hex6e5718db1f60

121320358223712 has 96 divisors (see below), whose sum is σ = 320309089198560. Its totient is φ = 40206616289280.

The previous prime is 121320358223677. The next prime is 121320358223719. The reversal of 121320358223712 is 217322853023121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121320358223719) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9905214 + ... + 18459522.

It is an arithmetic number, because the mean of its divisors is an integer number (3336553012485).

Almost surely, 2121320358223712 is an apocalyptic number.

121320358223712 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 121320358223712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160154544599280).

121320358223712 is an abundant number, since it is smaller than the sum of its proper divisors (198988730974848).

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

121320358223712 is a wasteful number, since it uses less digits than its factorization.

121320358223712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8555176 (or 8555168 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 121320358223712 in words is "one hundred twenty-one trillion, three hundred twenty billion, three hundred fifty-eight million, two hundred twenty-three thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 241 482 613 723 964 1226 1446 1839 1928 2452 2892 3678 3856 4904 5784 7356 7712 9808 11568 14712 19616 23136 29424 58848 147733 295466 443199 590932 886398 1181864 1772796 2363728 3545592 4727456 7091184 8554309 14182368 17108618 25662927 34217236 51325854 68434472 102651708 136868944 205303416 273737888 410606832 821213664 2061588469 4123176938 5243791417 6184765407 8246353876 10487582834 12369530814 15731374251 16492707752 20975165668 24739061628 31462748502 32985415504 41950331336 49478123256 62925497004 65970831008 83900662672 98956246512 125850994008 167801325344 197912493024 251701988016 503403976032 1263753731497 2527507462994 3791261194491 5055014925988 7582522388982 10110029851976 15165044777964 20220059703952 30330089555928 40440119407904 60660179111856 121320358223712