Search a number
-
+
222000121212100 = 22527111947101373857
BaseRepresentation
bin110010011110100001101110…
…010111010110110011000100
31002010001000010011000121221021
4302132201232113112303010
5213044222222012241400
62104053240414400524
764521656646204520
oct6236415627266304
91063030104017837
10222000121212100
11648107a4990660
1220a9513b500144
1396b46a1c667ca
143cb6c12884d80
151a9eaec89771a
hexc9e86e5d6cc4

222000121212100 has 1152 divisors, whose sum is σ = 654577784340480. Its totient is φ = 63278807040000.

The previous prime is 222000121212083. The next prime is 222000121212113. The reversal of 222000121212100 is 1212121000222.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 259043314872 + ... + 259043315728.

It is an arithmetic number, because the mean of its divisors is an integer number (568209882240).

Almost surely, 2222000121212100 is an apocalyptic number.

222000121212100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222000121212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327288892170240).

222000121212100 is an abundant number, since it is smaller than the sum of its proper divisors (432577663128380).

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

222000121212100 is a wasteful number, since it uses less digits than its factorization.

222000121212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1429 (or 1422 counting only the distinct ones).

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

Adding to 222000121212100 its reverse (1212121000222), we get a palindrome (223212242212322).

The spelling of 222000121212100 in words is "two hundred twenty-two trillion, one hundred twenty-one million, two hundred twelve thousand, one hundred".