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2202012122121 = 34717925784421
BaseRepresentation
bin100000000010110010001…
…001100111110000001001
321210111210000021221010000
4200002302021213300021
5242034210100401441
64403331305513213
7315042625132230
oct40026211476011
97714700257100
102202012122121
11779960489129
122b69214a2809
1312c8586b3346
1478813ca3b17
153c42ce0b2b6
hex200b2267c09

2202012122121 has 80 divisors (see below), whose sum is σ = 3795099834240. Its totient is φ = 1246379581440.

The previous prime is 2202012122087. The next prime is 2202012122159. The reversal of 2202012122121 is 1212212102022.

It is a happy number.

2202012122121 is a `hidden beast` number, since 220 + 20 + 1 + 212 + 212 + 1 = 666.

It is not a de Polignac number, because 2202012122121 - 230 = 2200938380297 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2202012122094 and 2202012122103.

It is not an unprimeable number, because it can be changed into a prime (2202012122021) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 26041491 + ... + 26125911.

It is an arithmetic number, because the mean of its divisors is an integer number (47438747928).

Almost surely, 22202012122121 is an apocalyptic number.

2202012122121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2202012122121 is a deficient number, since it is larger than the sum of its proper divisors (1593087712119).

2202012122121 is a wasteful number, since it uses less digits than its factorization.

2202012122121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84876 (or 84867 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2202012122121 its reverse (1212212102022), we get a palindrome (3414224224143).

The spelling of 2202012122121 in words is "two trillion, two hundred two billion, twelve million, one hundred twenty-two thousand, one hundred twenty-one".

Divisors: 1 3 7 9 21 27 63 81 179 189 257 537 567 771 1253 1611 1799 2313 3759 4833 5397 6939 11277 14499 16191 20817 33831 46003 48573 84421 101493 138009 145719 253263 322021 414027 590947 759789 966063 1242081 1772841 2279367 2898189 3726243 5318523 6838101 8694567 15111359 15955569 21696197 26083701 45334077 47866707 65088591 105779513 136002231 151873379 195265773 317338539 408006693 455620137 585797319 952015617 1224020079 1366860411 1757391957 2856046851 3883619263 4100581233 8568140553 11650857789 12301743699 27185334841 34952573367 81556004523 104857720101 244668013569 314573160303 734004040707 2202012122121