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122421231200 = 2552997153487
BaseRepresentation
bin111001000000011011…
…1111011111001100000
3102200222202010220022002
41302000313323321200
54001204313344300
6132123423503132
711562466203332
oct1620067737140
9380882126262
10122421231200
1147a11658a44
121b886757aa8
13b70c9c7958
145cd4b31452
1532b78225d5
hex1c80dfbe60

122421231200 has 72 divisors (see below), whose sum is σ = 299162539872. Its totient is φ = 48919057920.

The previous prime is 122421231199. The next prime is 122421231217. The reversal of 122421231200 is 2132124221.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 11 ways as a sum of consecutive naturals, for example, 720857 + ... + 874343.

It is an arithmetic number, because the mean of its divisors is an integer number (4155035276).

Almost surely, 2122421231200 is an apocalyptic number.

122421231200 is a gapful number since it is divisible by the number (10) 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 122421231200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149581269936).

122421231200 is an abundant number, since it is smaller than the sum of its proper divisors (176741308672).

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

122421231200 is a wasteful number, since it uses less digits than its factorization.

122421231200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154504 (or 154491 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 122421231200 its reverse (2132124221), we get a palindrome (124553355421).

The spelling of 122421231200 in words is "one hundred twenty-two billion, four hundred twenty-one million, two hundred thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 997 1994 3988 4985 7976 9970 15952 19940 24925 31904 39880 49850 79760 99700 153487 159520 199400 306974 398800 613948 767435 797600 1227896 1534870 2455792 3069740 3837175 4911584 6139480 7674350 12278960 15348700 24557920 30697400 61394800 122789600 153026539 306053078 612106156 765132695 1224212312 1530265390 2448424624 3060530780 3825663475 4896849248 6121061560 7651326950 12242123120 15302653900 24484246240 30605307800 61210615600 122421231200