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1202121121200 = 243523597193881
BaseRepresentation
bin10001011111100100000…
…000001001110110110000
311020220212212222020020220
4101133210000021312300
5124143421001334300
62320125151333040
7152564452635606
oct21374400116660
94226785866226
101202121121200
114238a904091a
12174b8bb21180
1389489b8c3cc
144227c111876
152140b025da0
hex117e4009db0

1202121121200 has 240 divisors, whose sum is σ = 3867888153600. Its totient is φ = 319145830400.

The previous prime is 1202121121199. The next prime is 1202121121207. The reversal of 1202121121200 is 21211212021.

It is a tau number, because it is divible by the number of its divisors (240).

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 1202121121200.

It is not an unprimeable number, because it can be changed into a prime (1202121121207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 309743260 + ... + 309747140.

It is an arithmetic number, because the mean of its divisors is an integer number (16116200640).

Almost surely, 21202121121200 is an apocalyptic number.

1202121121200 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 1202121121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1933944076800).

1202121121200 is an abundant number, since it is smaller than the sum of its proper divisors (2665767032400).

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

1202121121200 is a wasteful number, since it uses less digits than its factorization.

1202121121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4980 (or 4969 counting only the distinct ones).

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

Adding to 1202121121200 its reverse (21211212021), we get a palindrome (1223332333221).

The spelling of 1202121121200 in words is "one trillion, two hundred two billion, one hundred twenty-one million, one hundred twenty-one thousand, two hundred".