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122021020120013 = 7371574111729941
BaseRepresentation
bin11011101111101000111011…
…100011110011001111001101
3121000001002120200200121201222
4123233220323203303033031
5111443143022122320023
61111303403252013125
734462504425566030
oct3357507343631715
9530032520617658
10122021020120013
113597490785a303
12118285a89011a5
1353116c07cba81
14221bbc54ad017
15e190a7c06cc8
hex6efa3b8f33cd

122021020120013 has 32 divisors (see below), whose sum is σ = 144169080880128. Its totient is φ = 101089799366400.

The previous prime is 122021020120003. The next prime is 122021020120019. The reversal of 122021020120013 is 310021020120221.

It is a cyclic number.

It is not a de Polignac number, because 122021020120013 - 240 = 120921508492237 is a prime.

It is a super-2 number, since 2×1220210201200132 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122021020119973 and 122021020120000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122021020120019) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 166800623 + ... + 167530563.

It is an arithmetic number, because the mean of its divisors is an integer number (4505283777504).

Almost surely, 2122021020120013 is an apocalyptic number.

It is an amenable number.

122021020120013 is a deficient number, since it is larger than the sum of its proper divisors (22148060760115).

122021020120013 is a wasteful number, since it uses less digits than its factorization.

122021020120013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734253.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 122021020120013 its reverse (310021020120221), we get a palindrome (432042040240234).

The spelling of 122021020120013 in words is "one hundred twenty-two trillion, twenty-one billion, twenty million, one hundred twenty thousand, thirteen".

Divisors: 1 7 37 157 259 1099 4111 5809 28777 40663 152107 645427 729941 1064749 4517989 5109587 23880799 27007817 114600737 167165593 189054719 802205159 3000787451 4240227269 21005512157 29681590883 111029135687 471123629807 777203949809 3297865408649 17431574302859 122021020120013