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2121122232 = 23321743191211
BaseRepresentation
bin111111001101101…
…1100000110111000
312110211021011200200
41332123130012320
513321001402412
6550251002200
7103364145555
oct17633340670
95424234620
102121122232
11999355589
124b2439360
1327a5a5018
141619c7a2c
15c633a9dc
hex7e6dc1b8

2121122232 has 192 divisors, whose sum is σ = 6286325760. Its totient is φ = 643507200.

The previous prime is 2121122221. The next prime is 2121122243. The reversal of 2121122232 is 2322211212.

It is an interprime number because it is at equal distance from previous prime (2121122221) and next prime (2121122243).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10052607 + ... + 10052817.

It is an arithmetic number, because the mean of its divisors is an integer number (32741280).

Almost surely, 22121122232 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 2121122232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3143162880).

2121122232 is an abundant number, since it is smaller than the sum of its proper divisors (4165203528).

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

2121122232 is a wasteful number, since it uses less digits than its factorization.

2121122232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 467 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 2121122232 is about 46055.6427813140. The cubic root of 2121122232 is about 1284.8582930029.

Adding to 2121122232 its reverse (2322211212), we get a palindrome (4443333444).

The spelling of 2121122232 in words is "two billion, one hundred twenty-one million, one hundred twenty-two thousand, two hundred thirty-two".