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122390505680 = 2451529881321
BaseRepresentation
bin111000111111100001…
…0101110100011010000
3102200220121022212210212
41301333002232203100
54001123432140210
6132120405143252
711561644063502
oct1617702564320
9380817285725
10122390505680
11479a6282453
121b8783bab28
13b70652a681
145cd0a13d72
1532b4ca3805
hex1c7f0ae8d0

122390505680 has 20 divisors (see below), whose sum is σ = 284557925892. Its totient is φ = 48956202240.

The previous prime is 122390505661. The next prime is 122390505689. The reversal of 122390505680 is 86505093221.

It can be written as a sum of positive squares in 2 ways, for example, as 31287949456 + 91102556224 = 176884^2 + 301832^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×1223905056802 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122390505689) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 764940581 + ... + 764940740.

Almost surely, 2122390505680 is an apocalyptic number.

122390505680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122390505680 is an abundant number, since it is smaller than the sum of its proper divisors (162167420212).

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

122390505680 is a wasteful number, since it uses less digits than its factorization.

122390505680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1529881334 (or 1529881328 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 41.

The spelling of 122390505680 in words is "one hundred twenty-two billion, three hundred ninety million, five hundred five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1529881321 3059762642 6119525284 7649406605 12239050568 15298813210 24478101136 30597626420 61195252840 122390505680