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122187132 = 223223173853
BaseRepresentation
bin1110100100001…
…10110101111100
322111220202020100
413102012311330
5222234442012
620042521100
73012400464
oct722066574
9274822210
10122187132
1162a76001
1234b06190
131c4115a2
1412328ba4
15aad88dc
hex7486d7c

122187132 has 72 divisors (see below), whose sum is σ = 324533664. Its totient is φ = 38687616.

The previous prime is 122187113. The next prime is 122187137. The reversal of 122187132 is 231781221.

It is a junction number, because it is equal to n+sod(n) for n = 122187096 and 122187105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122187137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 142818 + ... + 143670.

It is an arithmetic number, because the mean of its divisors is an integer number (4507412).

Almost surely, 2122187132 is an apocalyptic number.

122187132 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 122187132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162266832).

122187132 is an abundant number, since it is smaller than the sum of its proper divisors (202346532).

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

122187132 is a wasteful number, since it uses less digits than its factorization.

122187132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1059 (or 1054 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 122187132 is about 11053.8288389137. The cubic root of 122187132 is about 496.2210199075.

The spelling of 122187132 in words is "one hundred twenty-two million, one hundred eighty-seven thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 173 207 276 346 414 519 692 828 853 1038 1557 1706 2076 2559 3114 3412 3979 5118 6228 7677 7958 10236 11937 15354 15916 19619 23874 30708 35811 39238 47748 58857 71622 78476 117714 143244 147569 176571 235428 295138 353142 442707 590276 706284 885414 1328121 1770828 2656242 3394087 5312484 6788174 10182261 13576348 20364522 30546783 40729044 61093566 122187132