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121231330200 = 2332522379101367
BaseRepresentation
bin111000011100111110…
…0110100101110011000
3102120220211010122222200
41300321330310232120
53441240210031300
6131405400050200
711521140206241
oct1607174645630
9376824118880
10121231330200
1147460a1a792
121b5b4163960
13b58032b116
145c20aadcc8
15324812e200
hex1c39f34b98

121231330200 has 576 divisors, whose sum is σ = 435657830400. Its totient is φ = 30146688000.

The previous prime is 121231330193. The next prime is 121231330219. The reversal of 121231330200 is 2033132121.

121231330200 is a `hidden beast` number, since 12 + 123 + 1 + 330 + 200 = 666.

It is a super-2 number, since 2×1212313302002 (a number of 23 digits) contains 22 as substring.

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 143 ways as a sum of consecutive naturals, for example, 330330417 + ... + 330330783.

It is an arithmetic number, because the mean of its divisors is an integer number (756350400).

Almost surely, 2121231330200 is an apocalyptic number.

121231330200 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 121231330200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217828915200).

121231330200 is an abundant number, since it is smaller than the sum of its proper divisors (314426500200).

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

121231330200 is a wasteful number, since it uses less digits than its factorization.

121231330200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 121231330200 its reverse (2033132121), we get a palindrome (123264462321).

The spelling of 121231330200 in words is "one hundred twenty-one billion, two hundred thirty-one million, three hundred thirty thousand, two hundred".