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1212416630325 = 325241953137909
BaseRepresentation
bin10001101001001001101…
…010011001111000110101
311021220110101210021200200
4101221021222121320311
5124331012124132300
62324550532031113
7153410546214315
oct21511152317065
94256411707620
101212416630325
1142820164224a
12176b83a62499
138a43ab64544
14429775d9445
152180ed07200
hex11a49a99e35

1212416630325 has 72 divisors (see below), whose sum is σ = 2226888485640. Its totient is φ = 630184396800.

The previous prime is 1212416630237. The next prime is 1212416630333. The reversal of 1212416630325 is 5230366142121.

1212416630325 is a `hidden beast` number, since 1 + 2 + 1 + 2 + 4 + 16 + 630 + 3 + 2 + 5 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 844504022961 + 367912607364 = 918969^2 + 606558^2 .

It is not a de Polignac number, because 1212416630325 - 219 = 1212416106037 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1212416630325.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8722471 + ... + 8860379.

It is an arithmetic number, because the mean of its divisors is an integer number (30929006745).

Almost surely, 21212416630325 is an apocalyptic number.

1212416630325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1212416630325 is a deficient number, since it is larger than the sum of its proper divisors (1014471855315).

1212416630325 is a wasteful number, since it uses less digits than its factorization.

1212416630325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138919 (or 138911 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 1212416630325 in words is "one trillion, two hundred twelve billion, four hundred sixteen million, six hundred thirty thousand, three hundred twenty-five".

Divisors: 1 3 5 9 15 25 41 45 75 123 205 225 369 615 953 1025 1845 2859 3075 4765 8577 9225 14295 23825 39073 42885 71475 117219 137909 195365 214425 351657 413727 586095 689545 976825 1241181 1758285 2068635 2930475 3447725 5654269 6205905 8791425 10343175 16962807 28271345 31029525 50888421 84814035 131427277 141356725 254442105 394281831 424070175 657136385 1182845493 1272210525 1971409155 3285681925 5388518357 5914227465 9857045775 16165555071 26942591785 29571137325 48496665213 80827775355 134712958925 242483326065 404138876775 1212416630325