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12125050677376 = 277213796193041
BaseRepresentation
bin1011000001110001010101…
…0101101010100010000000
31120221010212121222201010221
42300130111111222202000
53042124100433134001
641442101004032424
72361002026150600
oct260342525524200
946833777881127
1012125050677376
11395522900a65a
121439abab32714
1369c50609a340
142dcbd9a18c00
151606014dd1a1
hexb071556a880

12125050677376 has 384 divisors, whose sum is σ = 30703222368000. Its totient is φ = 4726799400960.

The previous prime is 12125050677343. The next prime is 12125050677437. The reversal of 12125050677376 is 67377605052121.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3987190416 + ... + 3987193456.

It is an arithmetic number, because the mean of its divisors is an integer number (79956308250).

Almost surely, 212125050677376 is an apocalyptic number.

12125050677376 is a gapful number since it is divisible by the number (16) 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 12125050677376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15351611184000).

12125050677376 is an abundant number, since it is smaller than the sum of its proper divisors (18578171690624).

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

12125050677376 is a wasteful number, since it uses less digits than its factorization.

12125050677376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3780 (or 3761 counting only the distinct ones).

The product of its (nonzero) digits is 3704400, while the sum is 52.

The spelling of 12125050677376 in words is "twelve trillion, one hundred twenty-five billion, fifty million, six hundred seventy-seven thousand, three hundred seventy-six".