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12121323322200 = 233521011489134333
BaseRepresentation
bin1011000001100011011100…
…1010111011101101011000
31120220210020212022110002020
42300120313022323231120
53042043432232302300
641440243053534440
72360510456152101
oct260306712735530
946823225273066
1012121323322200
113953696016534
12143923a7a4420
1369c060ab9531
142dc9649973a8
151604841718a0
hexb06372bbb58

12121323322200 has 192 divisors, whose sum is σ = 37973911255200. Its totient is φ = 3198176256000.

The previous prime is 12121323322187. The next prime is 12121323322211. The reversal of 12121323322200 is 222332312121.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90166234 + ... + 90300566.

Almost surely, 212121323322200 is an apocalyptic number.

12121323322200 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 12121323322200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18986955627600).

12121323322200 is an abundant number, since it is smaller than the sum of its proper divisors (25852587933000).

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

12121323322200 is a wasteful number, since it uses less digits than its factorization.

12121323322200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135942 (or 135933 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 12121323322200 its reverse (222332312121), we get a palindrome (12343655634321).

The spelling of 12121323322200 in words is "twelve trillion, one hundred twenty-one billion, three hundred twenty-three million, three hundred twenty-two thousand, two hundred".