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122112213021 = 3225495322881
BaseRepresentation
bin111000110111001110…
…1001000000000011101
3102200012012200011001100
41301232131020000131
54000041211304041
6132033024303313
711552024453601
oct1615635100035
9380165604040
10122112213021
1147873185017
121b7bb171b39
13b690990166
145ca5a91501
15329a6316b6
hex1c6e74801d

122112213021 has 12 divisors (see below), whose sum is σ = 176453538300. Its totient is φ = 81376189440.

The previous prime is 122112212987. The next prime is 122112213029. The reversal of 122112213021 is 120312211221.

It can be written as a sum of positive squares in 2 ways, for example, as 65850744996 + 56261468025 = 256614^2 + 237195^2 .

It is not a de Polignac number, because 122112213021 - 210 = 122112211997 is a prime.

It is a super-2 number, since 2×1221122130212 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122112212985 and 122112213003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122112213029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2638500 + ... + 2684381.

It is an arithmetic number, because the mean of its divisors is an integer number (14704461525).

Almost surely, 2122112213021 is an apocalyptic number.

It is an amenable number.

122112213021 is a deficient number, since it is larger than the sum of its proper divisors (54341325279).

122112213021 is a wasteful number, since it uses less digits than its factorization.

122112213021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5325436 (or 5325433 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 122112213021 its reverse (120312211221), we get a palindrome (242424424242).

The spelling of 122112213021 in words is "one hundred twenty-two billion, one hundred twelve million, two hundred thirteen thousand, twenty-one".

Divisors: 1 3 9 2549 7647 22941 5322881 15968643 47905929 13568023669 40704071007 122112213021