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1204993101312 = 293271131317127
BaseRepresentation
bin10001100010001111001…
…011111000111000000000
311021012022001002221022200
4101202033023320320000
5124220311213220222
62321322144033200
7153025565235510
oct21421713707000
94235261087280
101204993101312
11425042212000
12175651902800
1389826b9c520
1442471711840
152152822ceac
hex1188f2f8e00

1204993101312 has 1920 divisors, whose sum is σ = 5024126435328. Its totient is φ = 269773701120.

The previous prime is 1204993101233. The next prime is 1204993101313. The reversal of 1204993101312 is 2131013994021.

It is a happy number.

1204993101312 is a `hidden beast` number, since 1 + 2 + 0 + 499 + 31 + 0 + 131 + 2 = 666.

It is a super-2 number, since 2×12049931013122 (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1204993101313) 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 191 ways as a sum of consecutive naturals, for example, 9488134593 + ... + 9488134719.

Almost surely, 21204993101312 is an apocalyptic number.

1204993101312 is a gapful number since it is divisible by the number (12) 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 1204993101312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2512063217664).

1204993101312 is an abundant number, since it is smaller than the sum of its proper divisors (3819133334016).

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

1204993101312 is a wasteful number, since it uses less digits than its factorization.

1204993101312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 1204993101312 in words is "one trillion, two hundred four billion, nine hundred ninety-three million, one hundred one thousand, three hundred twelve".