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122000121320 = 23571189619719
BaseRepresentation
bin111000110011111000…
…1100001110111101000
3102122220101202022010212
41301213301201313220
53444324012340240
6132013542000252
711546163630620
oct1614761416750
9378811668125
10122000121320
1147815984950
121b789716088
13b6736a49cc
145c94c33880
15329088e165
hex1c67c61de8

122000121320 has 256 divisors, whose sum is σ = 347120640000. Its totient is φ = 37485803520.

The previous prime is 122000121319. The next prime is 122000121391. The reversal of 122000121320 is 23121000221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 122000121295 and 122000121304.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 169679921 + ... + 169680639.

It is an arithmetic number, because the mean of its divisors is an integer number (1355940000).

Almost surely, 2122000121320 is an apocalyptic number.

122000121320 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 122000121320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173560320000).

122000121320 is an abundant number, since it is smaller than the sum of its proper divisors (225120518680).

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

122000121320 is a wasteful number, since it uses less digits than its factorization.

122000121320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1456 (or 1452 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 122000121320 its reverse (23121000221), we get a palindrome (145121121541).

The spelling of 122000121320 in words is "one hundred twenty-two billion, one hundred twenty-one thousand, three hundred twenty".