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12122112100200 = 23352316311032847
BaseRepresentation
bin1011000001100110011000…
…1011111000011101101000
31120220212021211112112002020
42300121212023320131220
53042102041144201300
641440453232104440
72360536144516314
oct260314613703550
946825254475066
1012122112100200
113953a60292083
12143941a995120
1369c15834058b
142dc9db640b44
151604cd52d8a0
hexb06662f8768

12122112100200 has 192 divisors, whose sum is σ = 38852271390720. Its totient is φ = 3123326304000.

The previous prime is 12122112100199. The next prime is 12122112100201. The reversal of 12122112100200 is 200121122121.

It is an interprime number because it is at equal distance from previous prime (12122112100199) and next prime (12122112100201).

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

It is a self number, because there is not a number n which added to its sum of digits gives 12122112100200.

It is not an unprimeable number, because it can be changed into a prime (12122112100201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11220177 + ... + 12253023.

It is an arithmetic number, because the mean of its divisors is an integer number (202355580160).

Almost surely, 212122112100200 is an apocalyptic number.

12122112100200 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 12122112100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19426135695360).

12122112100200 is an abundant number, since it is smaller than the sum of its proper divisors (26730159290520).

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

12122112100200 is a wasteful number, since it uses less digits than its factorization.

12122112100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1033528 (or 1033519 counting only the distinct ones).

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

Adding to 12122112100200 its reverse (200121122121), we get a palindrome (12322233222321).

The spelling of 12122112100200 in words is "twelve trillion, one hundred twenty-two billion, one hundred twelve million, one hundred thousand, two hundred".