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1214812128 = 25331408203
BaseRepresentation
bin100100001101000…
…1000111111100000
310010122212211221210
41020122020333200
54441442442003
6320313350120
742050506215
oct11032107740
93118784853
101214812128
11573803372
1229aa08340
131648ac45a
14b74a7b0c
15719b4503
hex48688fe0

1214812128 has 48 divisors (see below), whose sum is σ = 3291757056. Its totient is φ = 391873920.

The previous prime is 1214812127. The next prime is 1214812171. The reversal of 1214812128 is 8212184121.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 1214812095 and 1214812104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1214812121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 201126 + ... + 207077.

It is an arithmetic number, because the mean of its divisors is an integer number (68578272).

Almost surely, 21214812128 is an apocalyptic number.

It is an amenable number.

1214812128 is an abundant number, since it is smaller than the sum of its proper divisors (2076944928).

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

1214812128 is a wasteful number, since it uses less digits than its factorization.

1214812128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408247 (or 408239 counting only the distinct ones).

The product of its digits is 2048, while the sum is 30.

The square root of 1214812128 is about 34854.1551038036. The cubic root of 1214812128 is about 1067.0129892808.

Adding to 1214812128 its reverse (8212184121), we get a palindrome (9426996249).

The spelling of 1214812128 in words is "one billion, two hundred fourteen million, eight hundred twelve thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 408203 816406 1224609 1632812 2449218 3265624 4898436 6531248 9796872 12654293 13062496 19593744 25308586 37962879 39187488 50617172 75925758 101234344 151851516 202468688 303703032 404937376 607406064 1214812128