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121361340024 = 23328571966831
BaseRepresentation
bin111000100000110110…
…0110001011001111000
3102121020212202211221100
41301001230301121320
53442022000340044
6131430322411400
711524306240521
oct1610154613170
9377225684840
10121361340024
1147518349021
121b62b800b60
13b5a124b202
145c34073848
153254760869
hex1c41b31678

121361340024 has 48 divisors (see below), whose sum is σ = 329070661920. Its totient is φ = 40406555520.

The previous prime is 121361339999. The next prime is 121361340049. The reversal of 121361340024 is 420043163121.

It is a happy number.

121361340024 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 613 + 40 + 0 + 2 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (121361339999) and next prime (121361340049).

It is a self number, because there is not a number n which added to its sum of digits gives 121361340024.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 921712 + ... + 1045119.

It is an arithmetic number, because the mean of its divisors is an integer number (6855638790).

Almost surely, 2121361340024 is an apocalyptic number.

It is an amenable number.

121361340024 is an abundant number, since it is smaller than the sum of its proper divisors (207709321896).

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

121361340024 is a wasteful number, since it uses less digits than its factorization.

121361340024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1967700 (or 1967693 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 121361340024 in words is "one hundred twenty-one billion, three hundred sixty-one million, three hundred forty thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 857 1714 2571 3428 5142 6856 7713 10284 15426 20568 30852 61704 1966831 3933662 5900493 7867324 11800986 15734648 17701479 23601972 35402958 47203944 70805916 141611832 1685574167 3371148334 5056722501 6742296668 10113445002 13484593336 15170167503 20226890004 30340335006 40453780008 60680670012 121361340024