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12220055440 = 2451259121327
BaseRepresentation
bin10110110000101111…
…10011111110010000
31011112122012010122221
423120113303332100
5200011313233230
65340330110424
7611552520535
oct133027637620
934478163587
1012220055440
1152009a257a
12245057b414
1311c9921548
1483cd40d8c
154b7c3c27a
hex2d85f3f90

12220055440 has 40 divisors (see below), whose sum is σ = 28434430080. Its totient is φ = 4884099456.

The previous prime is 12220055417. The next prime is 12220055461. The reversal of 12220055440 is 4455002221.

It is a tau number, because it is divible by the number of its divisors (40).

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 7 ways as a sum of consecutive naturals, for example, 40057 + ... + 161383.

It is an arithmetic number, because the mean of its divisors is an integer number (710860752).

Almost surely, 212220055440 is an apocalyptic number.

12220055440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12220055440 is an abundant number, since it is smaller than the sum of its proper divisors (16214374640).

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

12220055440 is a wasteful number, since it uses less digits than its factorization.

12220055440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122599 (or 122593 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

Adding to 12220055440 its reverse (4455002221), we get a palindrome (16675057661).

The spelling of 12220055440 in words is "twelve billion, two hundred twenty million, fifty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1259 2518 5036 6295 10072 12590 20144 25180 50360 100720 121327 242654 485308 606635 970616 1213270 1941232 2426540 4853080 9706160 152750693 305501386 611002772 763753465 1222005544 1527506930 2444011088 3055013860 6110027720 12220055440