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12290751950400 = 2634527112197183
BaseRepresentation
bin1011001011011010100111…
…1001110110111001000000
31121111222120122011112110000
42302312221321312321000
53102332424444403100
642050143221240000
72405656201554210
oct262665171667100
947458518145400
1012290751950400
113a0952a069600
121466043b63000
136b202255c4a1
14306c387ba240
15164a9d756900
hexb2da9e76e40

12290751950400 has 5040 divisors, whose sum is σ = 61310405882880. Its totient is φ = 2356687872000.

The previous prime is 12290751950311. The next prime is 12290751950423. The reversal of 12290751950400 is 405915709221.

12290751950400 is a `hidden beast` number, since 1 + 2 + 2 + 90 + 7 + 51 + 9 + 504 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5040).

It is a super-2 number, since 2×122907519504002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 148081348759 + ... + 148081348841.

It is an arithmetic number, because the mean of its divisors is an integer number (12164763072).

Almost surely, 212290751950400 is an apocalyptic number.

12290751950400 is a gapful number since it is divisible by the number (10) 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 12290751950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30655202941440).

12290751950400 is an abundant number, since it is smaller than the sum of its proper divisors (49019653932480).

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

12290751950400 is a wasteful number, since it uses less digits than its factorization.

12290751950400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 12290751950400 in words is "twelve trillion, two hundred ninety billion, seven hundred fifty-one million, nine hundred fifty thousand, four hundred".