Search a number
-
+
122021020102120 = 23519931530619921
BaseRepresentation
bin11011101111101000111011…
…100011101110110111101000
3121000001002120200122201012021
4123233220323203232313220
5111443143022121231440
61111303403251354224
734462504425462616
oct3357507343566750
9530032520581167
10122021020102120
1135974907847917
12118285a88b2974
1353116c07c3899
14221bbc54a66b6
15e190a7c0184a
hex6efa3b8eede8

122021020102120 has 32 divisors (see below), whose sum is σ = 274685051202120. Its totient is φ = 48783918090240.

The previous prime is 122021020102097. The next prime is 122021020102151. The reversal of 122021020102120 is 21201020120221.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 85366253656996 + 36654766445124 = 9239386^2 + 6054318^2 .

It is a junction number, because it is equal to n+sod(n) for n = 122021020102094 and 122021020102103.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 765230241 + ... + 765389680.

Almost surely, 2122021020102120 is an apocalyptic number.

122021020102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122021020102120 is an abundant number, since it is smaller than the sum of its proper divisors (152664031100000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122021020102120 is a wasteful number, since it uses less digits than its factorization.

122021020102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1530621925 (or 1530621921 counting only the distinct ones).

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

Adding to 122021020102120 its reverse (21201020120221), we get a palindrome (143222040222341).

The spelling of 122021020102120 in words is "one hundred twenty-two trillion, twenty-one billion, twenty million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 1993 3986 7972 9965 15944 19930 39860 79720 1530619921 3061239842 6122479684 7653099605 12244959368 15306199210 30612398420 61224796840 3050525502553 6101051005106 12202102010212 15252627512765 24404204020424 30505255025530 61010510051060 122021020102120