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122194872 = 23332831999
BaseRepresentation
bin1110100100010…
…00101110111000
322111221010212000
413102020232320
5222240213442
620043021000
73012432162
oct722105670
9274833760
10122194872
1162a808a8
1234b0a760
131c414c77
141232b932
15aadad4c
hex7488bb8

122194872 has 64 divisors (see below), whose sum is σ = 340800000. Its totient is φ = 40567392.

The previous prime is 122194867. The next prime is 122194873. The reversal of 122194872 is 278491221.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122194873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60129 + ... + 62127.

It is an arithmetic number, because the mean of its divisors is an integer number (5325000).

Almost surely, 2122194872 is an apocalyptic number.

122194872 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 122194872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170400000).

122194872 is an abundant number, since it is smaller than the sum of its proper divisors (218605128).

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

122194872 is a wasteful number, since it uses less digits than its factorization.

122194872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2297 (or 2287 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 122194872 is about 11054.1789383020. The cubic root of 122194872 is about 496.2314974691.

The spelling of 122194872 in words is "one hundred twenty-two million, one hundred ninety-four thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 283 566 849 1132 1698 1999 2264 2547 3396 3998 5094 5997 6792 7641 7996 10188 11994 15282 15992 17991 20376 23988 30564 35982 47976 53973 61128 71964 107946 143928 215892 431784 565717 1131434 1697151 2262868 3394302 4525736 5091453 6788604 10182906 13577208 15274359 20365812 30548718 40731624 61097436 122194872