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122170002000 = 2435359467739
BaseRepresentation
bin111000111000111100…
…1100100101001010000
3102200100020102010121220
41301301321210221100
54000201010031000
6132042451045040
711553325611564
oct1616171445120
9380306363556
10122170002000
11478a2865802
121b8165a0780
13b69c944917
145cad6156a4
1532a07491a0
hex1c71e64a50

122170002000 has 320 divisors, whose sum is σ = 401952844800. Its totient is φ = 31914662400.

The previous prime is 122170001999. The next prime is 122170002131. The reversal of 122170002000 is 200071221.

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

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 165317631 + ... + 165318369.

It is an arithmetic number, because the mean of its divisors is an integer number (1256102640).

Almost surely, 2122170002000 is an apocalyptic number.

122170002000 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 122170002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200976422400).

122170002000 is an abundant number, since it is smaller than the sum of its proper divisors (279782842800).

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

122170002000 is a wasteful number, since it uses less digits than its factorization.

122170002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1291 (or 1275 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

Adding to 122170002000 its reverse (200071221), we get a palindrome (122370073221).

The spelling of 122170002000 in words is "one hundred twenty-two billion, one hundred seventy million, two thousand".