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122212420 = 2251134591
BaseRepresentation
bin1110100100011…
…01000001000100
322111222000220221
413102031001010
5222241244140
620043234124
73012534301
oct722150104
9274860827
10122212420
1162a93000
1234b18944
131c41cc55
14123340a8
15aae114a
hex748d044

122212420 has 48 divisors (see below), whose sum is σ = 282352896. Its totient is φ = 44431200.

The previous prime is 122212417. The next prime is 122212421. The reversal of 122212420 is 24212221.

It is a junction number, because it is equal to n+sod(n) for n = 122212394 and 122212403.

It is not an unprimeable number, because it can be changed into a prime (122212421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24325 + ... + 28915.

It is an arithmetic number, because the mean of its divisors is an integer number (5882352).

Almost surely, 2122212420 is an apocalyptic number.

122212420 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 122212420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141176448).

122212420 is an abundant number, since it is smaller than the sum of its proper divisors (160140476).

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

122212420 is a wasteful number, since it uses less digits than its factorization.

122212420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4633 (or 4609 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 122212420 is about 11054.9726367821. The cubic root of 122212420 is about 496.2552503849.

Adding to 122212420 its reverse (24212221), we get a palindrome (146424641).

It can be divided in two parts, 12221 and 2420, that added together give a palindrome (14641).

The spelling of 122212420 in words is "one hundred twenty-two million, two hundred twelve thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1210 1331 2420 2662 4591 5324 6655 9182 13310 18364 22955 26620 45910 50501 91820 101002 202004 252505 505010 555511 1010020 1111022 2222044 2777555 5555110 6110621 11110220 12221242 24442484 30553105 61106210 122212420