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122210000000 = 2757112101
BaseRepresentation
bin111000111010001001…
…0001001110010000000
3102200110000200020120022
41301310102021302000
54000241230000000
6132050440233012
711554322601044
oct1616422116200
9380400606508
10122210000000
11479133a4900
121b827a6b768
13b6a800a58a
145cb4a68024
1532a3eea585
hex1c74489c80

122210000000 has 384 divisors, whose sum is σ = 337824330480. Its totient is φ = 44000000000.

The previous prime is 122209999949. The next prime is 122210000039. The reversal of 122210000000 is 12221.

It can be written as a sum of positive squares in 8 ways, for example, as 85306053184 + 36903946816 = 292072^2 + 192104^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1209999950 + ... + 1210000050.

Almost surely, 2122210000000 is an apocalyptic number.

122210000000 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 122210000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168912165240).

122210000000 is an abundant number, since it is smaller than the sum of its proper divisors (215614330480).

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

122210000000 is an frugal number, since it uses more digits than its factorization.

122210000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 122210000000 its reverse (12221), we get a palindrome (122210012221).

122210000000 divided by its reverse (12221) gives a 7-th power (10000000 = 107).

The spelling of 122210000000 in words is "one hundred twenty-two billion, two hundred ten million", and thus it is an aban number.