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122717092680 = 233257137947417
BaseRepresentation
bin111001001001010000…
…0100011101101001000
3102201202100212012221200
41302102200203231020
54002311033431210
6132213033104200
711603021035260
oct1622240435510
9381670765850
10122717092680
1148053666066
121b949858060
13b7590a6b10
145d221487a0
1532d37b50c0
hex1c92823b48

122717092680 has 384 divisors, whose sum is σ = 497092377600. Its totient is φ = 25563672576.

The previous prime is 122717092649. The next prime is 122717092691. The reversal of 122717092680 is 86290717221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 2564332 + ... + 2611748.

It is an arithmetic number, because the mean of its divisors is an integer number (1294511400).

Almost surely, 2122717092680 is an apocalyptic number.

122717092680 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 122717092680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248546188800).

122717092680 is an abundant number, since it is smaller than the sum of its proper divisors (374375284920).

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

122717092680 is a wasteful number, since it uses less digits than its factorization.

122717092680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47533 (or 47526 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 122717092680 in words is "one hundred twenty-two billion, seven hundred seventeen million, ninety-two thousand, six hundred eighty".