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122444000000 = 285674373
BaseRepresentation
bin111001000001000111…
…0110010101100000000
3102201001022222200012222
41302002032302230000
54001231131000000
6132125555510212
711563163553560
oct1620216625400
9381038880188
10122444000000
1147a2349a533
121b8922b8368
13b71463a40a
145cd7b7ada0
1532b981da85
hex1c823b2b00

122444000000 has 252 divisors, whose sum is σ = 349232092272. Its totient is φ = 41971200000.

The previous prime is 122443999999. The next prime is 122444000017. The reversal of 122444000000 is 444221.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 27997814 + ... + 28002186.

It is an arithmetic number, because the mean of its divisors is an integer number (1385841636).

Almost surely, 2122444000000 is an apocalyptic number.

122444000000 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 122444000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174616046136).

122444000000 is an abundant number, since it is smaller than the sum of its proper divisors (226788092272).

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

122444000000 is an frugal number, since it uses more digits than its factorization.

122444000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4426 (or 4387 counting only the distinct ones).

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

Adding to 122444000000 its reverse (444221), we get a palindrome (122444444221).

The spelling of 122444000000 in words is "one hundred twenty-two billion, four hundred forty-four million", and thus it is an aban number.