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12122214986224 = 24722331473731237
BaseRepresentation
bin1011000001100110110001…
…0100010111000111110000
31120220212120000010200011201
42300121230110113013300
53042102244014024344
641440511345220544
72360541534161500
oct260315424270760
946825500120151
1012122214986224
113954003374952
121439449331754
1369c173754895
142dca0b183a00
151604d75a34d4
hexb066c5171f0

12122214986224 has 480 divisors, whose sum is σ = 30159994208256. Its totient is φ = 4690319800320.

The previous prime is 12122214986117. The next prime is 12122214986267. The reversal of 12122214986224 is 42268941222121.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9799688134 + ... + 9799689370.

Almost surely, 212122214986224 is an apocalyptic number.

12122214986224 is a gapful number since it is divisible by the number (14) 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 12122214986224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15079997104128).

12122214986224 is an abundant number, since it is smaller than the sum of its proper divisors (18037779222032).

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

12122214986224 is a wasteful number, since it uses less digits than its factorization.

12122214986224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1733 (or 1720 counting only the distinct ones).

The product of its digits is 442368, while the sum is 46.

The spelling of 12122214986224 in words is "twelve trillion, one hundred twenty-two billion, two hundred fourteen million, nine hundred eighty-six thousand, two hundred twenty-four".