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121202211011985 = 3255971642965497
BaseRepresentation
bin11011100011101110010110…
…101110111011110110010001
3120220010211002110220012011200
4123203232112232323312101
5111341234112004340420
61105435305503101413
734346366530162245
oct3343562656736621
9526124073805150
10121202211011985
1135689629421334
12117159732a1869
13528241cb0039c
1421d030b0a0425
15e02b334d5b90
hex6e3b96bbbd91

121202211011985 has 48 divisors (see below), whose sum is σ = 216653654206080. Its totient is φ = 62650557930240.

The previous prime is 121202211011983. The next prime is 121202211012121. The reversal of 121202211011985 is 589110112202121.

It is a happy number.

121202211011985 is a `hidden beast` number, since 121 + 20 + 221 + 101 + 198 + 5 = 666.

It is not a de Polignac number, because 121202211011985 - 21 = 121202211011983 is a prime.

It is a super-3 number, since 3×1212022110119853 (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (121202211011983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 321294244 + ... + 321671253.

It is an arithmetic number, because the mean of its divisors is an integer number (4513617795960).

Almost surely, 2121202211011985 is an apocalyptic number.

121202211011985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

121202211011985 is a deficient number, since it is larger than the sum of its proper divisors (95451443194095).

121202211011985 is a wasteful number, since it uses less digits than its factorization.

121202211011985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642965638 (or 642965635 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 36.

The spelling of 121202211011985 in words is "one hundred twenty-one trillion, two hundred two billion, two hundred eleven million, eleven thousand, nine hundred eighty-five".

Divisors: 1 3 5 9 15 45 59 71 177 213 295 355 531 639 885 1065 2655 3195 4189 12567 20945 37701 62835 188505 642965497 1928896491 3214827485 5786689473 9644482455 28933447365 37934964323 45650550287 113804892969 136951650861 189674821615 228252751435 341414678907 410854952583 569024464845 684758254305 1707073394535 2054274762915 2693382466933 8080147400799 13466912334665 24240442202397 40400737003995 121202211011985