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12216979969440 = 25351929118139113
BaseRepresentation
bin1011000111000111110011…
…0000000101010110100000
31121020221011100011121102220
42301301330300011112200
53100130333333010230
641552223023511040
72400435103223421
oct261617460052640
947227140147386
1012216979969440
1139902127733a4
121453895a58480
136a809680ab4c
1430343ac47648
15162bd1e11d10
hexb1c7cc055a0

12216979969440 has 384 divisors, whose sum is σ = 41942348985600. Its totient is φ = 2977368145920.

The previous prime is 12216979969429. The next prime is 12216979969483. The reversal of 12216979969440 is 4496997961221.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 312331324 + ... + 312370436.

It is an arithmetic number, because the mean of its divisors is an integer number (109224867150).

Almost surely, 212216979969440 is an apocalyptic number.

12216979969440 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 12216979969440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20971174492800).

12216979969440 is an abundant number, since it is smaller than the sum of its proper divisors (29725369016160).

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

12216979969440 is a wasteful number, since it uses less digits than its factorization.

12216979969440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40360 (or 40352 counting only the distinct ones).

The product of its (nonzero) digits is 105815808, while the sum is 69.

The spelling of 12216979969440 in words is "twelve trillion, two hundred sixteen billion, nine hundred seventy-nine million, nine hundred sixty-nine thousand, four hundred forty".