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122212020 = 223574367101
BaseRepresentation
bin1110100100011…
…00111010110100
322111222000101010
413102030322310
5222241241040
620043232220
73012533160
oct722147264
9274860333
10122212020
1162a92777
1234b18670
131c41ca08
1412333ca0
15aae0e80
hex748ceb4

122212020 has 192 divisors, whose sum is σ = 410167296. Its totient is φ = 26611200.

The previous prime is 122212007. The next prime is 122212043. The reversal of 122212020 is 20212221.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 122211987 and 122212005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1209970 + ... + 1210070.

It is an arithmetic number, because the mean of its divisors is an integer number (2136288).

Almost surely, 2122212020 is an apocalyptic number.

122212020 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 122212020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205083648).

122212020 is an abundant number, since it is smaller than the sum of its proper divisors (287955276).

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

122212020 is a wasteful number, since it uses less digits than its factorization.

122212020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 122212020 is about 11054.9545453611. The cubic root of 122212020 is about 496.2547089715.

Adding to 122212020 its reverse (20212221), we get a palindrome (142424241).

It can be divided in two parts, 12221 and 2020, that added together give a palindrome (14241).

The spelling of 122212020 in words is "one hundred twenty-two million, two hundred twelve thousand, twenty".