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122132021220312 = 23323221253661631
BaseRepresentation
bin11011110001010000010011…
…101111011001001111011000
3121000102201002112211202112220
4123301100103233121033120
5112002002334413022222
61111430402002504040
734503514224432165
oct3361202357311730
9530381075752486
10122132021220312
1135a07999004934
1211846006965020
13531c00052c8cc
14222331560906c
15e1be02b4bb5c
hex6f1413bd93d8

122132021220312 has 32 divisors (see below), whose sum is σ = 318605272750080. Its totient is φ = 38940644446880.

The previous prime is 122132021220241. The next prime is 122132021220317. The reversal of 122132021220312 is 213022120231221.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122132021220317) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 110626830264 + ... + 110626831367.

It is an arithmetic number, because the mean of its divisors is an integer number (9956414773440).

Almost surely, 2122132021220312 is an apocalyptic number.

122132021220312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122132021220312 is an abundant number, since it is smaller than the sum of its proper divisors (196473251529768).

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

122132021220312 is a wasteful number, since it uses less digits than its factorization.

122132021220312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221253661663 (or 221253661659 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 122132021220312 its reverse (213022120231221), we get a palindrome (335154141451533).

The spelling of 122132021220312 in words is "one hundred twenty-two trillion, one hundred thirty-two billion, twenty-one million, two hundred twenty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 552 221253661631 442507323262 663760984893 885014646524 1327521969786 1770029293048 2655043939572 5088834217513 5310087879144 10177668435026 15266502652539 20355336870052 30533005305078 40710673740104 61066010610156 122132021220312