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121122022021 = 711132912973217
BaseRepresentation
bin111000011001101101…
…1110110001010000101
3102120122012110020100121
41300303123312022011
53441024214201041
6131350453141541
711515342125430
oct1606333661205
9376565406317
10121122022021
1147405250950
121b58362a8b1
13b5637a8920
145c10378817
15323d73b7d1
hex1c336f6285

121122022021 has 64 divisors (see below), whose sum is σ = 168415188480. Its totient is φ = 84025589760.

The previous prime is 121122022001. The next prime is 121122022027. The reversal of 121122022021 is 120220221121.

It is a happy number.

It is not a de Polignac number, because 121122022021 - 25 = 121122021989 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 121122021986 and 121122022004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121122022027) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 37649005 + ... + 37652221.

It is an arithmetic number, because the mean of its divisors is an integer number (2631487320).

Almost surely, 2121122022021 is an apocalyptic number.

121122022021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121122022021 is a deficient number, since it is larger than the sum of its proper divisors (47293166459).

121122022021 is a wasteful number, since it uses less digits than its factorization.

121122022021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4574.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 121122022021 its reverse (120220221121), we get a palindrome (241342243142).

Subtracting from 121122022021 its reverse (120220221121), we obtain a square (901800900 = 300302).

The spelling of 121122022021 in words is "one hundred twenty-one billion, one hundred twenty-two million, twenty-two thousand, twenty-one".

Divisors: 1 7 11 13 29 77 91 143 203 319 377 1001 1297 2233 2639 3217 4147 9079 14267 16861 22519 29029 35387 37613 41821 93293 99869 118027 185471 247709 263291 292747 413743 460031 488969 653051 1026223 1212809 1298297 2896201 3220217 3422783 4172449 5378659 7183561 8489663 13340899 29207143 37650613 45896939 54241837 93386293 121001021 321278573 379692859 596660207 847007147 1331011231 1573013273 4176621449 9317078617 11011092911 17303146003 121122022021