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1212134333112 = 2332192339797039
BaseRepresentation
bin10001101000111000110…
…101100001101010111000
311021212201201121002201100
4101220320311201222320
5124324422342124422
62324502525251400
7153400550555343
oct21507065415270
94255651532640
101212134333112
1142807725a16a
12176b05403b60
138a3c4524381
144294bd1345a
15217e51437ac
hex11a38d61ab8

1212134333112 has 192 divisors, whose sum is σ = 3615011712000. Its totient is φ = 365210664192.

The previous prime is 1212134333083. The next prime is 1212134333119. The reversal of 1212134333112 is 2113334312121.

1212134333112 is a `hidden beast` number, since 1 + 2 + 1 + 2 + 1 + 343 + 3 + 311 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1212134333119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12442689 + ... + 12539727.

It is an arithmetic number, because the mean of its divisors is an integer number (18828186000).

Almost surely, 21212134333112 is an apocalyptic number.

1212134333112 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 1212134333112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1807505856000).

1212134333112 is an abundant number, since it is smaller than the sum of its proper divisors (2402877378888).

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

1212134333112 is a wasteful number, since it uses less digits than its factorization.

1212134333112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97490 (or 97483 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

Adding to 1212134333112 its reverse (2113334312121), we get a palindrome (3325468645233).

The spelling of 1212134333112 in words is "one trillion, two hundred twelve billion, one hundred thirty-four million, three hundred thirty-three thousand, one hundred twelve".