122472 has 64 divisors (see below), whose sum is σ = 393600. Its totient is φ = 34992.

The previous prime is 122471. The next prime is 122477. The reversal of 122472 is 274221.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (122471) 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, 17493 + ... + 17499.

It is an arithmetic number, because the mean of its divisors is an integer number (6150).

2^{122472} is an apocalyptic number.

122472 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 122472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196800).

122472 is an abundant number, since it is smaller than the sum of its proper divisors (271128).

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

122472 is an frugal number, since it uses more digits than its factorization.

122472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34 (or 12 counting only the distinct ones).

The product of its digits is 224, while the sum is 18.

The square root of 122472 is about 349.9599977140. The cubic root of 122472 is about 49.6606351749.

Adding to 122472 its reverse (274221), we get a palindrome (396693).

It can be divided in two parts, 1224 and 72, that added together give a 4-th power (1296 = 6^{4}).

The spelling of 122472 in words is "one hundred twenty-two thousand, four hundred seventy-two", and thus it is an iban number.

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 243 252 324 378 486 504 567 648 729 756 972 1134 1458 1512 1701 1944 2187 2268 2916 3402 4374 4536 5103 5832 6804 8748 10206 13608 15309 17496 20412 30618 40824 61236 122472

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