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122120103000 = 23353721974217
BaseRepresentation
bin111000110111011101…
…1001110010001011000
3102200012202112000001210
41301232323032101120
54000100221244000
6132033505343120
711552151514500
oct1615673162130
9380182460053
10122120103000
1147877683965
121b801937aa0
13b6924c349c
145ca6b46a00
15329b18e350
hex1c6eece458

122120103000 has 384 divisors, whose sum is σ = 445576697280. Its totient is φ = 27764889600.

The previous prime is 122120102989. The next prime is 122120103013. The reversal of 122120103000 is 301021221.

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 95 ways as a sum of consecutive naturals, for example, 28956892 + ... + 28961108.

Almost surely, 2122120103000 is an apocalyptic number.

122120103000 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 122120103000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222788348640).

122120103000 is an abundant number, since it is smaller than the sum of its proper divisors (323456594280).

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

122120103000 is a wasteful number, since it uses less digits than its factorization.

122120103000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4452 (or 4431 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 122120103000 its reverse (301021221), we get a palindrome (122421124221).

The spelling of 122120103000 in words is "one hundred twenty-two billion, one hundred twenty million, one hundred three thousand".