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122420420 = 22519378707
BaseRepresentation
bin1110100101111…
…11110011000100
322112100121020122
413102333303010
5222314423140
620051521112
73014361563
oct722776304
9275317218
10122420420
1163115301
1234bb9198
131c493825
1412389bda
15ab32ab5
hex74bfcc4

122420420 has 48 divisors (see below), whose sum is σ = 277959360. Its totient is φ = 45131904.

The previous prime is 122420413. The next prime is 122420429. The reversal of 122420420 is 24024221.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (122420429) 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, 9707 + ... + 18413.

It is an arithmetic number, because the mean of its divisors is an integer number (5790820).

Almost surely, 2122420420 is an apocalyptic number.

122420420 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 122420420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138979680).

122420420 is an abundant number, since it is smaller than the sum of its proper divisors (155538940).

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

122420420 is a wasteful number, since it uses less digits than its factorization.

122420420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8772 (or 8770 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 122420420 is about 11064.3761685872. The cubic root of 122420420 is about 496.5366254644.

Adding to 122420420 its reverse (24024221), we get a palindrome (146444641).

The spelling of 122420420 in words is "one hundred twenty-two million, four hundred twenty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 19 20 37 38 74 76 95 148 185 190 370 380 703 740 1406 2812 3515 7030 8707 14060 17414 34828 43535 87070 165433 174140 322159 330866 644318 661732 827165 1288636 1610795 1654330 3221590 3308660 6121021 6443180 12242042 24484084 30605105 61210210 122420420