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12669224020992 = 210337112541007
BaseRepresentation
bin1011100001011100100010…
…0110001110110000000000
31122212011111000010210002000
42320113020212032300000
53130033032322132432
642540054451224000
72445215116230510
oct270271046166000
948764430123060
1012669224020992
114044a95745a00
1215074695a8000
1370b919aa2256
1431b29d7a3840
1516e8501be57c
hexb85c898ec00

12669224020992 has 528 divisors, whose sum is σ = 47132790082560. Its totient is φ = 3290701455360.

The previous prime is 12669224020979. The next prime is 12669224021021. The reversal of 12669224020992 is 29902042296621.

12669224020992 is a `hidden beast` number, since 1 + 2 + 66 + 92 + 2 + 402 + 0 + 9 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 23147353 + ... + 23688359.

Almost surely, 212669224020992 is an apocalyptic number.

12669224020992 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 12669224020992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23566395041280).

12669224020992 is an abundant number, since it is smaller than the sum of its proper divisors (34463566061568).

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

12669224020992 is a wasteful number, since it uses less digits than its factorization.

12669224020992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541065 (or 541030 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 12669224020992 in words is "twelve trillion, six hundred sixty-nine billion, two hundred twenty-four million, twenty thousand, nine hundred ninety-two".