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122132420 = 22517794547
BaseRepresentation
bin1110100011110…
…01011111000100
322111210222011222
413101321133010
5222231214140
620041415512
73012052124
oct721713704
9274728158
10122132420
1162a38993
1234a9a598
131c3c2707
1412312c84
15aac75b5
hex74797c4

122132420 has 48 divisors (see below), whose sum is σ = 275063040. Its totient is φ = 45387264.

The previous prime is 122132411. The next prime is 122132441. The reversal of 122132420 is 24231221.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24587 + ... + 29133.

It is an arithmetic number, because the mean of its divisors is an integer number (5730480).

Almost surely, 2122132420 is an apocalyptic number.

122132420 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 122132420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137531520).

122132420 is an abundant number, since it is smaller than the sum of its proper divisors (152930620).

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

122132420 is a wasteful number, since it uses less digits than its factorization.

122132420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4652 (or 4650 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 122132420 is about 11051.3537632274. The cubic root of 122132420 is about 496.1469441920.

Adding to 122132420 its reverse (24231221), we get a palindrome (146363641).

The spelling of 122132420 in words is "one hundred twenty-two million, one hundred thirty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 79 85 158 170 316 340 395 790 1343 1580 2686 4547 5372 6715 9094 13430 18188 22735 26860 45470 77299 90940 154598 309196 359213 386495 718426 772990 1436852 1545980 1796065 3592130 6106621 7184260 12213242 24426484 30533105 61066210 122132420