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121125693645 = 325111631501217
BaseRepresentation
bin111000011001110100…
…1110110100011001101
3102120122110100202212200
41300303221312203031
53441031134144040
6131351103552113
711515415260035
oct1606351664315
9376573322780
10121125693645
1147407329450
121b5848bb639
13b564492b98
145c10a528c5
15323dc14630
hex1c33a768cd

121125693645 has 48 divisors (see below), whose sum is σ = 230442967872. Its totient is φ = 58367278080.

The previous prime is 121125693571. The next prime is 121125693659. The reversal of 121125693645 is 546396521121.

It is a happy number.

121125693645 is a `hidden beast` number, since 1 + 2 + 1 + 12 + 569 + 36 + 45 = 666.

It is not a de Polignac number, because 121125693645 - 27 = 121125693517 is a prime.

It is a super-3 number, since 3×1211256936453 (a number of 34 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 121125693645.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 669924 + ... + 831293.

It is an arithmetic number, because the mean of its divisors is an integer number (4800895164).

Almost surely, 2121125693645 is an apocalyptic number.

121125693645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

121125693645 is a deficient number, since it is larger than the sum of its proper divisors (109317274227).

121125693645 is a wasteful number, since it uses less digits than its factorization.

121125693645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1501402 (or 1501399 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The spelling of 121125693645 in words is "one hundred twenty-one billion, one hundred twenty-five million, six hundred ninety-three thousand, six hundred forty-five".

Divisors: 1 3 5 9 11 15 33 45 55 99 163 165 489 495 815 1467 1793 2445 5379 7335 8965 16137 26895 80685 1501217 4503651 7506085 13510953 16513387 22518255 49540161 67554765 82566935 148620483 244698371 247700805 734095113 743102415 1223491855 2202285339 2691682081 3670475565 8075046243 11011426695 13458410405 24225138729 40375231215 121125693645