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122987830680 = 233551113194657
BaseRepresentation
bin111001010001010100…
…1010101110110011000
3102202110020022010200000
41302202221111312120
54003334341040210
6132255544013000
711612516212011
oct1624251256630
9382406263600
10122987830680
1148182473580
121ba04461160
13b7a01ca810
145d4a0a2008
1532ec443ac0
hex1ca2a55d98

122987830680 has 768 divisors, whose sum is σ = 512722828800. Its totient is φ = 26067640320.

The previous prime is 122987830597. The next prime is 122987830723. The reversal of 122987830680 is 86038789221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 26406912 + ... + 26411568.

It is an arithmetic number, because the mean of its divisors is an integer number (667607850).

Almost surely, 2122987830680 is an apocalyptic number.

122987830680 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 122987830680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256361414400).

122987830680 is an abundant number, since it is smaller than the sum of its proper divisors (389734998120).

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

122987830680 is a wasteful number, since it uses less digits than its factorization.

122987830680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4726 (or 4710 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 122987830680 in words is "one hundred twenty-two billion, nine hundred eighty-seven million, eight hundred thirty thousand, six hundred eighty".