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122122200000 = 26355375501
BaseRepresentation
bin111000110111100001…
…1001110001111000000
3102200012220110112121110
41301233003032033000
54000101240400000
6132034022323320
711552205400263
oct1615703161700
9380186415543
10122122200000
1147878886419
121b802589540
13b692a78b08
145ca7130cda
15329b455850
hex1c6f0ce3c0

122122200000 has 336 divisors, whose sum is σ = 414858634848. Its totient is φ = 31680000000.

The previous prime is 122122199959. The next prime is 122122200029. The reversal of 122122200000 is 2221221.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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, 22197250 + ... + 22202750.

It is an arithmetic number, because the mean of its divisors is an integer number (1234698318).

Almost surely, 2122122200000 is an apocalyptic number.

122122200000 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 122122200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207429317424).

122122200000 is an abundant number, since it is smaller than the sum of its proper divisors (292736434848).

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

122122200000 is an frugal number, since it uses more digits than its factorization.

122122200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5578 (or 5548 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 122122200000 its reverse (2221221), we get a palindrome (122124421221).

The spelling of 122122200000 in words is "one hundred twenty-two billion, one hundred twenty-two million, two hundred thousand".