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11922066000 = 243653131737
BaseRepresentation
bin10110001101001110…
…00100101001010000
31010202212110201000000
423012213010221100
5143404022103000
65251003130000
7601303613625
oct130647045120
933685421000
1011922066000
115068771709
122388813900
13117cc78930
1481153234c
1549b9c9000
hex2c69c4a50

11922066000 has 1120 divisors, whose sum is σ = 50616322848. Its totient is φ = 2687385600.

The previous prime is 11922065999. The next prime is 11922066019. The reversal of 11922066000 is 66022911.

It can be written as a sum of positive squares in 16 ways, for example, as 6352727616 + 5569338384 = 79704^2 + 74628^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 322217982 + ... + 322218018.

Almost surely, 211922066000 is an apocalyptic number.

11922066000 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 11922066000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25308161424).

11922066000 is an abundant number, since it is smaller than the sum of its proper divisors (38694256848).

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

11922066000 is a wasteful number, since it uses less digits than its factorization.

11922066000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

Adding to 11922066000 its reverse (66022911), we get a palindrome (11988088911).

The spelling of 11922066000 in words is "eleven billion, nine hundred twenty-two million, sixty-six thousand".