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122244023136 = 2532782345767
BaseRepresentation
bin111000111011001001…
…1111100001101100000
3102200112101200210112110
41301312103330031200
54000323432220021
6132054053355320
711555215023624
oct1616623741540
9380471623473
10122244023136
11479306229a4
121b837338b40
13b6b2090801
145cb93a3184
1532a6ebb476
hex1c764fc360

122244023136 has 48 divisors (see below), whose sum is σ = 320909105664. Its totient is φ = 40745652864.

The previous prime is 122244023093. The next prime is 122244023149. The reversal of 122244023136 is 631320442221.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent 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 7 ways as a sum of consecutive naturals, for example, 2648125 + ... + 2693891.

It is an arithmetic number, because the mean of its divisors is an integer number (6685606368).

Almost surely, 2122244023136 is an apocalyptic number.

122244023136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

122244023136 is an abundant number, since it is smaller than the sum of its proper divisors (198665082528).

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

122244023136 is a wasteful number, since it uses less digits than its factorization.

122244023136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73603 (or 73595 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 122244023136 its reverse (631320442221), we get a palindrome (753564465357).

The spelling of 122244023136 in words is "one hundred twenty-two billion, two hundred forty-four million, twenty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 27823 45767 55646 83469 91534 111292 137301 166938 183068 222584 274602 333876 366136 445168 549204 667752 732272 890336 1098408 1335504 1464544 2196816 2671008 4393632 1273375241 2546750482 3820125723 5093500964 7640251446 10187001928 15280502892 20374003856 30561005784 40748007712 61122011568 122244023136