Search a number
-
+
121231120032192 = 263797992558019
BaseRepresentation
bin11011100100001001010001…
…110110000110000111000000
3120220020120201012022120121210
4123210021101312012013000
5111342222313212012232
61105500450243450120
734351442111614062
oct3344112166060700
9526216635276553
10121231120032192
113569a913851075
121171b4a0986940
1352850791523c1
1421d1890677732
15e0377645b5cc
hex6e4251d861c0

121231120032192 has 56 divisors (see below), whose sum is σ = 324817557932800. Its totient is φ = 39898849625856.

The previous prime is 121231120032181. The next prime is 121231120032221. The reversal of 121231120032192 is 291230021132121.

It is a super-3 number, since 3×1212311200321923 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3996263842 + ... + 3996294177.

Almost surely, 2121231120032192 is an apocalyptic number.

121231120032192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121231120032192 is an abundant number, since it is smaller than the sum of its proper divisors (203586437900608).

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

121231120032192 is an equidigital number, since it uses as much as digits as its factorization.

121231120032192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7992558113 (or 7992558103 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The spelling of 121231120032192 in words is "one hundred twenty-one trillion, two hundred thirty-one billion, one hundred twenty million, thirty-two thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 79 96 158 192 237 316 474 632 948 1264 1896 2528 3792 5056 7584 15168 7992558019 15985116038 23977674057 31970232076 47955348114 63940464152 95910696228 127880928304 191821392456 255761856608 383642784912 511523713216 631412083501 767285569824 1262824167002 1534571139648 1894236250503 2525648334004 3788472501006 5051296668008 7576945002012 10102593336016 15153890004024 20205186672032 30307780008048 40410373344064 60615560016096 121231120032192