Search a number
-
+
121992126240 = 25351991277137
BaseRepresentation
bin111000110011101001…
…1000001111100100000
3102122212211201002221210
41301213103001330200
53444314441014430
6132013054350120
711546035651425
oct1614723017440
9378784632853
10121992126240
1147811414046
121b786abb340
13b671b358aa
145c93b51d4c
15328ed102b0
hex1c674c1f20

121992126240 has 96 divisors (see below), whose sum is σ = 386206531200. Its totient is φ = 32367734784.

The previous prime is 121992126211. The next prime is 121992126251. The reversal of 121992126240 is 42621299121.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 543049 + ... + 734088.

It is an arithmetic number, because the mean of its divisors is an integer number (4022984700).

Almost surely, 2121992126240 is an apocalyptic number.

121992126240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121992126240 is an abundant number, since it is smaller than the sum of its proper divisors (264214404960).

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

121992126240 is a wasteful number, since it uses less digits than its factorization.

121992126240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1277354 (or 1277346 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The spelling of 121992126240 in words is "one hundred twenty-one billion, nine hundred ninety-two million, one hundred twenty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 199 240 398 480 597 796 995 1194 1592 1990 2388 2985 3184 3980 4776 5970 6368 7960 9552 11940 15920 19104 23880 31840 47760 95520 1277137 2554274 3831411 5108548 6385685 7662822 10217096 12771370 15325644 19157055 20434192 25542740 30651288 38314110 40868384 51085480 61302576 76628220 102170960 122605152 153256440 204341920 254150263 306512880 508300526 613025760 762450789 1016601052 1270751315 1524901578 2033202104 2541502630 3049803156 3812253945 4066404208 5083005260 6099606312 7624507890 8132808416 10166010520 12199212624 15249015780 20332021040 24398425248 30498031560 40664042080 60996063120 121992126240