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122440020 = 223511318059
BaseRepresentation
bin1110100110001…
…00100101010100
322112101121010120
413103010211110
5222321040040
620052151540
73014502663
oct723044524
9275347116
10122440020
1163128aaa
12350085b0
131c49c721
1412392dda
15ab387d0
hex74c4954

122440020 has 48 divisors (see below), whose sum is σ = 345885120. Its totient is φ = 32359936.

The previous prime is 122440013. The next prime is 122440033. The reversal of 122440020 is 20044221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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, 2250 + ... + 15809.

It is an arithmetic number, because the mean of its divisors is an integer number (7205940).

Almost surely, 2122440020 is an apocalyptic number.

122440020 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 122440020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172942560).

122440020 is an abundant number, since it is smaller than the sum of its proper divisors (223445100).

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

122440020 is a wasteful number, since it uses less digits than its factorization.

122440020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18184 (or 18182 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 122440020 is about 11065.2618586277. The cubic root of 122440020 is about 496.5631232184.

Adding to 122440020 its reverse (20044221), we get a palindrome (142484241).

The spelling of 122440020 in words is "one hundred twenty-two million, four hundred forty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 113 226 339 452 565 678 1130 1356 1695 2260 3390 6780 18059 36118 54177 72236 90295 108354 180590 216708 270885 361180 541770 1083540 2040667 4081334 6122001 8162668 10203335 12244002 20406670 24488004 30610005 40813340 61220010 122440020