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121022120222001 = 331716316011010353
BaseRepresentation
bin11011100001000110101000…
…011111000101110100110001
3120212111121020122022011111000
4123201012220133011310301
5111330311300234101001
61105220443340312213
734330362646546305
oct3341065037056461
9525447218264430
10121022120222001
113561a213909309
12116a6a93242669
13526b44c41b46b
1421c57051cdd05
15ded0e2d46a86
hex6e11a87c5d31

121022120222001 has 64 divisors (see below), whose sum is σ = 191122765712640. Its totient is φ = 75422372659200.

The previous prime is 121022120221997. The next prime is 121022120222011. The reversal of 121022120222001 is 100222021220121.

It is a happy number.

121022120222001 is a `hidden beast` number, since 1 + 21 + 0 + 221 + 202 + 220 + 0 + 1 = 666.

It is not a de Polignac number, because 121022120222001 - 22 = 121022120221997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (121022120222011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 119276841 + ... + 120287193.

It is an arithmetic number, because the mean of its divisors is an integer number (2986293214260).

Almost surely, 2121022120222001 is an apocalyptic number.

It is an amenable number.

121022120222001 is a deficient number, since it is larger than the sum of its proper divisors (70100645490639).

121022120222001 is a wasteful number, since it uses less digits than its factorization.

121022120222001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012143 (or 1012137 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 121022120222001 its reverse (100222021220121), we get a palindrome (221244141442122).

The spelling of 121022120222001 in words is "one hundred twenty-one trillion, twenty-two billion, one hundred twenty million, two hundred twenty-two thousand, one".

Divisors: 1 3 9 17 27 51 153 163 459 489 1467 1601 2771 4401 4803 8313 14409 24939 27217 43227 74817 81651 244953 260963 734859 782889 1010353 2348667 3031059 4436371 7046001 9093177 13309113 17176001 27279531 39927339 51528003 119782017 154584009 164687539 463752027 494062617 1482187851 1617575153 2799688163 4446563553 4852725459 8399064489 14558176377 25197193467 27498777601 43674529131 75591580401 82496332803 247488998409 263664749939 742466995227 790994249817 2372982749451 4482300748963 7118948248353 13446902246889 40340706740667 121022120222001