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121221012120021 = 32112359988876727
BaseRepresentation
bin11011100011111111110111…
…010111011110000111010101
3120220012121121202111102211100
4123203333313113132013111
5111342041113100320041
61105452055244100313
734350633454024302
oct3343776727360725
9526177552442740
10121221012120021
11356965a7131050
121171953b834699
135284127cb0c98
1421d11b20640a9
15e03383d846b6
hex6e3ff75de1d5

121221012120021 has 48 divisors (see below), whose sum is σ = 199652681779200. Its totient is φ = 70155732435360.

The previous prime is 121221012120011. The next prime is 121221012120163. The reversal of 121221012120021 is 120021210122121.

121221012120021 is a `hidden beast` number, since 1 + 212 + 210 + 1 + 21 + 200 + 21 = 666.

It is a de Polignac number, because none of the positive numbers 2k-121221012120021 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 121221012119976 and 121221012120003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121221012120001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43074441 + ... + 45802286.

It is an arithmetic number, because the mean of its divisors is an integer number (4159430870400).

Almost surely, 2121221012120021 is an apocalyptic number.

121221012120021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121221012120021 is a deficient number, since it is larger than the sum of its proper divisors (78431669659179).

121221012120021 is a wasteful number, since it uses less digits than its factorization.

121221012120021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88877366 (or 88877363 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 121221012120021 its reverse (120021210122121), we get a palindrome (241242222242142).

The spelling of 121221012120021 in words is "one hundred twenty-one trillion, two hundred twenty-one billion, twelve million, one hundred twenty thousand, twenty-one".

Divisors: 1 3 9 11 23 33 69 99 207 253 599 759 1797 2277 5391 6589 13777 19767 41331 59301 123993 151547 454641 1363923 88876727 266630181 799890543 977643997 2044164721 2932931991 6132494163 8798795973 18397482489 22485811931 53237159473 67457435793 159711478419 202372307379 479134435257 585608754203 1224454667879 1756826262609 3673364003637 5270478787827 11020092010911 13469001346669 40407004040007 121221012120021