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122232130000 = 2454194871321
BaseRepresentation
bin111000111010110011…
…0100100100111010000
3102200111120022120012221
41301311212210213100
54000312411130000
6132052550430424
711555011651021
oct1616546444720
9380446276187
10122232130000
114792493a462
121b833362414
13b6ac788356
145cb7988c48
1532a5e1c61a
hex1c759a49d0

122232130000 has 200 divisors, whose sum is σ = 312387753920. Its totient is φ = 46189440000.

The previous prime is 122232129989. The next prime is 122232130037. The reversal of 122232130000 is 31232221.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 92529340 + ... + 92530660.

Almost surely, 2122232130000 is an apocalyptic number.

122232130000 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 122232130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156193876960).

122232130000 is an abundant number, since it is smaller than the sum of its proper divisors (190155623920).

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

122232130000 is a wasteful number, since it uses less digits than its factorization.

122232130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1855 (or 1834 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 122232130000 its reverse (31232221), we get a palindrome (122263362221).

The spelling of 122232130000 in words is "one hundred twenty-two billion, two hundred thirty-two million, one hundred thirty thousand".