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121221220201200 = 243252742591129459
BaseRepresentation
bin11011100100000000000011…
…110001001111001011110000
3120220012122011021001001112200
4123210000003301033023300
5111342042024332414300
61105452132040023200
734350641561500050
oct3344000361171360
9526178137031480
10121221220201200
11356966a3633569
1211719599461b00
13528415c137642
1421d11d194b560
15e03397288200
hex6e4003c4f2f0

121221220201200 has 360 divisors, whose sum is σ = 480880516022400. Its totient is φ = 27701177264640.

The previous prime is 121221220201139. The next prime is 121221220201379. The reversal of 121221220201200 is 2102022122121.

It is a happy number.

121221220201200 is a `hidden beast` number, since 1 + 2 + 1 + 221 + 220 + 20 + 1 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 106762071 + ... + 107891529.

Almost surely, 2121221220201200 is an apocalyptic number.

121221220201200 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 121221220201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240440258011200).

121221220201200 is an abundant number, since it is smaller than the sum of its proper divisors (359659295821200).

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

121221220201200 is a wasteful number, since it uses less digits than its factorization.

121221220201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1133749 (or 1133735 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 121221220201200 its reverse (2102022122121), we get a palindrome (123323242323321).

The spelling of 121221220201200 in words is "one hundred twenty-one trillion, two hundred twenty-one billion, two hundred twenty million, two hundred one thousand, two hundred".