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122231011032 = 2332132346312263
BaseRepresentation
bin111000111010110001…
…0010011011011011000
3102200111111012201021200
41301311202103123120
54000312114323112
6132052510434200
711554666310514
oct1616542233330
9380444181250
10122231011032
1147924245799
121b832b02960
13b6ac485c40
145cb7777144
1532a5c9acdc
hex1c758936d8

122231011032 has 192 divisors, whose sum is σ = 372841297920. Its totient is φ = 35893718784.

The previous prime is 122231011031. The next prime is 122231011061. The reversal of 122231011032 is 230110132221.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 122231010996 and 122231011014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122231011031) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 9961333 + ... + 9973595.

It is an arithmetic number, because the mean of its divisors is an integer number (1941881760).

Almost surely, 2122231011032 is an apocalyptic number.

122231011032 is a gapful number since it is divisible by the number (12) 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 122231011032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186420648960).

122231011032 is an abundant number, since it is smaller than the sum of its proper divisors (250610286888).

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

122231011032 is a wasteful number, since it uses less digits than its factorization.

122231011032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12774 (or 12767 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 122231011032 its reverse (230110132221), we get a palindrome (352341143253).

The spelling of 122231011032 in words is "one hundred twenty-two billion, two hundred thirty-one million, eleven thousand, thirty-two".