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2134012201200 = 24325211205326249
BaseRepresentation
bin11111000011011101000…
…010100000100011110000
321120000020222110000221100
4133003131002200203300
5234430424110414300
64312203543324400
7310114545264015
oct37033502404360
97500228400840
102134012201200
11753036288080
122a5704450700
1312630c740049
1475402b6770c
153a79d1c6700
hex1f0dd0a08f0

2134012201200 has 360 divisors, whose sum is σ = 8083095930000. Its totient is φ = 517064601600.

The previous prime is 2134012201187. The next prime is 2134012201213. The reversal of 2134012201200 is 21022104312.

It is a happy number.

2134012201200 is a `hidden beast` number, since 2 + 1 + 340 + 122 + 0 + 1 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (2134012201187) and next prime (2134012201213).

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, 81285676 + ... + 81311924.

It is an arithmetic number, because the mean of its divisors is an integer number (22453044250).

Almost surely, 22134012201200 is an apocalyptic number.

2134012201200 is a gapful number since it is divisible by the number (20) 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 2134012201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4041547965000).

2134012201200 is an abundant number, since it is smaller than the sum of its proper divisors (5949083728800).

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

2134012201200 is a wasteful number, since it uses less digits than its factorization.

2134012201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28337 (or 28323 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 2134012201200 its reverse (21022104312), we get a palindrome (2155034305512).

The spelling of 2134012201200 in words is "two trillion, one hundred thirty-four billion, twelve million, two hundred one thousand, two hundred".