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122000100000 = 253552937379
BaseRepresentation
bin111000110011111000…
…1011100101010100000
3102122220101201012220020
41301213301130222200
53444324011200000
6132013541313440
711546163511512
oct1614761345240
9378811635806
10122000100000
114781596a929
121b789705880
13b6736980ac
145c94c29bb2
153290887ba0
hex1c67c5caa0

122000100000 has 576 divisors, whose sum is σ = 426403958400. Its totient is φ = 30481920000.

The previous prime is 122000099999. The next prime is 122000100059. The reversal of 122000100000 is 1000221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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, 321899811 + ... + 321900189.

It is an arithmetic number, because the mean of its divisors is an integer number (740284650).

Almost surely, 2122000100000 is an apocalyptic number.

122000100000 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 122000100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213201979200).

122000100000 is an abundant number, since it is smaller than the sum of its proper divisors (304403858400).

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

122000100000 is an equidigital number, since it uses as much as digits as its factorization.

122000100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 122000100000 its reverse (1000221), we get a palindrome (122001100221).

The spelling of 122000100000 in words is "one hundred twenty-two billion, one hundred thousand".