Search a number
BaseRepresentation
bin111000111010011110…
…0000111010101000000
3102200110210101002201201
41301310330013111000
54000302034000000
6132051512110544
711554515234031
oct1616474072500
9380423332651
10122221000000
1147919628310
121b82b695454
13b6aa38c358
145cb62cca88
1532a4e6e96a
hex1c74f07540

122221000000 has 392 divisors, whose sum is σ = 340038147456. Its totient is φ = 43200000000.

The previous prime is 122220999947. The next prime is 122221000001. The reversal of 122221000000 is 122221.

Adding to 122221000000 its reverse (122221), we get a palindrome (122221122221).

122221000000 divided by its reverse (122221) gives a 6-th power (1000000 = 106).

It can be divided in two parts, 122 and 221000000, that added together give a palindrome (221000122).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122221000001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 450999865 + ... + 451000135.

Almost surely, 2122221000000 is an apocalyptic number.

122221000000 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 122221000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170019073728).

122221000000 is an abundant number, since it is smaller than the sum of its proper divisors (217817147456).

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

122221000000 is an frugal number, since it uses more digits than its factorization.

122221000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The spelling of 122221000000 in words is "one hundred twenty-two billion, two hundred twenty-one million", and thus it is an aban number.