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122021120121121 = 13281222127315507
BaseRepresentation
bin11011101111101001000001…
…100001010001100100100001
3121000001002211122212012110201
4123233221001201101210201
5111443143223222333441
61111303421223225201
734462510051564324
oct3357510141214441
9530032748765421
10122021120121121
1135974959251651
12118286162a8201
135311708442c20
14221bbd48a07bb
15e190b18abc31
hex6efa41851921

122021120121121 has 32 divisors (see below), whose sum is σ = 132006654654336. Its totient is φ = 112122069696000.

The previous prime is 122021120121113. The next prime is 122021120121133. The reversal of 122021120121121 is 121121021120221.

It is a happy number.

It is not a de Polignac number, because 122021120121121 - 23 = 122021120121113 is a prime.

It is a super-2 number, since 2×1220211201211212 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122021120121161) 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, 22157455050 + ... + 22157460556.

It is an arithmetic number, because the mean of its divisors is an integer number (4125207957948).

Almost surely, 2122021120121121 is an apocalyptic number.

It is an amenable number.

122021120121121 is a deficient number, since it is larger than the sum of its proper divisors (9985534533215).

122021120121121 is a wasteful number, since it uses less digits than its factorization.

122021120121121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10753.

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 122021120121121 its reverse (121121021120221), we get a palindrome (243142141241342).

The spelling of 122021120121121 in words is "one hundred twenty-two trillion, twenty-one billion, one hundred twenty million, one hundred twenty-one thousand, one hundred twenty-one".

Divisors: 1 13 281 2221 2731 3653 5507 28873 35503 71591 624101 767411 1547467 6065551 8113313 9976343 12231047 15039617 20117071 78852163 159003611 195515021 1704419831 3436924207 4226132377 22157457803 33402989357 44680014691 54939720901 434238861641 9386240009317 122021120121121