Search a number
-
+
2121200020212 = 2237133761318563
BaseRepresentation
bin11110110111100001010…
…111111010101011110100
321111210012002001210201120
4132313201113322223310
5234223204201121322
64302244342023540
7306152212451460
oct36674127725364
97453162053646
102121200020212
11748661125949
122a3129717bb0
1312504a24c170
147494932d4a0
153a29d4c4a5c
hex1ede15faaf4

2121200020212 has 192 divisors, whose sum is σ = 6258041739264. Its totient is φ = 544165102080.

The previous prime is 2121200020211. The next prime is 2121200020229. The reversal of 2121200020212 is 2120200021212.

It is a junction number, because it is equal to n+sod(n) for n = 2121200020191 and 2121200020200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121200020211) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 247712643 + ... + 247721205.

It is an arithmetic number, because the mean of its divisors is an integer number (32593967392).

Almost surely, 22121200020212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2121200020212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3129020869632).

2121200020212 is an abundant number, since it is smaller than the sum of its proper divisors (4136841719052).

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

2121200020212 is a wasteful number, since it uses less digits than its factorization.

2121200020212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14758 (or 14756 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 2121200020212 its reverse (2120200021212), we get a palindrome (4241400041424).

The spelling of 2121200020212 in words is "two trillion, one hundred twenty-one billion, two hundred million, twenty thousand, two hundred twelve".