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12121212210000 = 243543723346867
BaseRepresentation
bin1011000001100011000010…
…0011000100101101010000
31120220202222010020100210120
42300120300203010231100
53042043220311210000
641440224044230240
72360504636545605
oct260306043045520
946822863210716
1012121212210000
113953639325273
12143920953b380
1369c043a84b7a
142dc953d126ac
151604795246a0
hexb06308c4b50

12121212210000 has 400 divisors, whose sum is σ = 40359761792064. Its totient is φ = 3131398656000.

The previous prime is 12121212209999. The next prime is 12121212210007. The reversal of 12121212210000 is 1221212121.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12121212210007) 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, 258606567 + ... + 258653433.

Almost surely, 212121212210000 is an apocalyptic number.

12121212210000 is a gapful number since it is divisible by the number (10) 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 12121212210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20179880896032).

12121212210000 is an abundant number, since it is smaller than the sum of its proper divisors (28238549582064).

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

12121212210000 is a wasteful number, since it uses less digits than its factorization.

12121212210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47168 (or 47147 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12121212210000 its reverse (1221212121), we get a palindrome (12122433422121).

The spelling of 12121212210000 in words is "twelve trillion, one hundred twenty-one billion, two hundred twelve million, two hundred ten thousand".