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121112260200 = 233252174784211
BaseRepresentation
bin111000011001011011…
…0100110111001101000
3102120121112002021122200
41300302312212321220
53441014214311300
6131345504020200
711515163140341
oct1606266467150
9376545067580
10121112260200
11473aa793728
121b580301660
13b56176b5b9
145c0cd570c8
15323c95e200
hex1c32da6e68

121112260200 has 288 divisors, whose sum is σ = 439829170560. Its totient is φ = 29749708800.

The previous prime is 121112260147. The next prime is 121112260223. The reversal of 121112260200 is 2062211121.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1396095 + ... + 1480305.

It is an arithmetic number, because the mean of its divisors is an integer number (1527184620).

Almost surely, 2121112260200 is an apocalyptic number.

121112260200 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 121112260200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219914585280).

121112260200 is an abundant number, since it is smaller than the sum of its proper divisors (318716910360).

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

121112260200 is a wasteful number, since it uses less digits than its factorization.

121112260200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84297 (or 84285 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 121112260200 its reverse (2062211121), we get a palindrome (123174471321).

The spelling of 121112260200 in words is "one hundred twenty-one billion, one hundred twelve million, two hundred sixty thousand, two hundred".