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1212916128 = 25361320611
BaseRepresentation
bin100100001001011…
…1010000110100000
310010112022112010120
41020102322012200
54441001304003
6320205000240
742025421424
oct11022720640
93115275116
101212916128
11572728926
1229a253080
13164397468
14b7132b84
157173c853
hex484ba1a0

1212916128 has 48 divisors (see below), whose sum is σ = 3189253536. Its totient is φ = 403626240.

The previous prime is 1212916121. The next prime is 1212916147. The reversal of 1212916128 is 8216192121.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1212916121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48543 + ... + 69153.

It is an arithmetic number, because the mean of its divisors is an integer number (66442782).

Almost surely, 21212916128 is an apocalyptic number.

It is an amenable number.

1212916128 is an abundant number, since it is smaller than the sum of its proper divisors (1976337408).

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

1212916128 is a wasteful number, since it uses less digits than its factorization.

1212916128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21237 (or 21229 counting only the distinct ones).

The product of its digits is 3456, while the sum is 33.

The square root of 1212916128 is about 34826.9454302269. The cubic root of 1212916128 is about 1066.4575920086.

The spelling of 1212916128 in words is "one billion, two hundred twelve million, nine hundred sixteen thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 613 1226 1839 2452 3678 4904 7356 9808 14712 19616 20611 29424 41222 58848 61833 82444 123666 164888 247332 329776 494664 659552 989328 1978656 12634543 25269086 37903629 50538172 75807258 101076344 151614516 202152688 303229032 404305376 606458064 1212916128