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122041116912 = 243112134873319
BaseRepresentation
bin111000110101000110…
…1111010100011110000
3102200000020220002112010
41301222031322203300
53444420011220122
6132022004402520
711550202243401
oct1615215724360
9380006802463
10122041116912
1147837035500
121b79b3a6440
13b67c029760
145c9a4659a8
15329428ae0c
hex1c6a37a8f0

122041116912 has 240 divisors, whose sum is σ = 374075502080. Its totient is φ = 34057013760.

The previous prime is 122041116889. The next prime is 122041116931. The reversal of 122041116912 is 219611140221.

It is a self number, because there is not a number n which added to its sum of digits gives 122041116912.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36768789 + ... + 36772107.

Almost surely, 2122041116912 is an apocalyptic number.

122041116912 is a gapful number since it is divisible by the number (12) 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 122041116912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187037751040).

122041116912 is an abundant number, since it is smaller than the sum of its proper divisors (252034385168).

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

122041116912 is a wasteful number, since it uses less digits than its factorization.

122041116912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3852 (or 3835 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 30.

The spelling of 122041116912 in words is "one hundred twenty-two billion, forty-one million, one hundred sixteen thousand, nine hundred twelve".