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121222220210001 = 32157269318924433
BaseRepresentation
bin11011100100000000111111…
…010111111101111101010001
3120220012201201221201202201200
4123210000333113331331101
5111342101101333210001
61105452415201421413
734351005423435441
oct3344007727757521
9526181657652650
10121222220210001
1135697067062a19
121171981833a869
13528428b378821
1421d128869c121
15e03404e6c086
hex6e403f5fdf51

121222220210001 has 24 divisors (see below), whose sum is σ = 176869112607720. Its totient is φ = 80001555918336.

The previous prime is 121222220209999. The next prime is 121222220210023. The reversal of 121222220210001 is 100012022222121.

It is a happy number.

121222220210001 is a `hidden beast` number, since 1 + 212 + 22 + 220 + 210 + 0 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 18643405475601 + 102578814734400 = 4317801^2 + 10128120^2 .

It is not a de Polignac number, because 121222220210001 - 21 = 121222220209999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (121222220210501) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 159082120 + ... + 159842313.

It is an arithmetic number, because the mean of its divisors is an integer number (7369546358655).

Almost surely, 2121222220210001 is an apocalyptic number.

It is an amenable number.

121222220210001 is a deficient number, since it is larger than the sum of its proper divisors (55646892397719).

121222220210001 is a wasteful number, since it uses less digits than its factorization.

121222220210001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318924865 (or 318924862 counting only the distinct ones).

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

Adding to 121222220210001 its reverse (100012022222121), we get a palindrome (221234242432122).

The spelling of 121222220210001 in words is "one hundred twenty-one trillion, two hundred twenty-two billion, two hundred twenty million, two hundred ten thousand, one".

Divisors: 1 3 9 157 269 471 807 1413 2421 42233 126699 380097 318924433 956773299 2870319897 50071135981 85790672477 150213407943 257372017431 450640223829 772116052293 13469135578889 40407406736667 121222220210001