Search a number
-
+
121932520819200 = 2934527133147887
BaseRepresentation
bin11011101110010110100000…
…100101110000101000000000
3120222201122011000122022220000
4123232112200211300220000
5111440220300312203300
61111155005440520000
734453222351131540
oct3356264045605000
9528648130568800
10121932520819200
1135940323256783
121181340a620000
1353062588850a0
1422177cba17320
15e16b284b1c00
hex6ee5a0970a00

121932520819200 has 4800 divisors, whose sum is σ = 586198768877568. Its totient is φ = 24339352780800.

The previous prime is 121932520819199. The next prime is 121932520819201. The reversal of 121932520819200 is 2918025239121.

121932520819200 is a `hidden beast` number, since 1 + 2 + 1 + 9 + 32 + 520 + 8 + 1 + 92 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (121932520819199) and next prime (121932520819201).

It is a tau number, because it is divible by the number of its divisors (4800).

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

It is not an unprimeable number, because it can be changed into a prime (121932520819201) 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 479 ways as a sum of consecutive naturals, for example, 137466201157 + ... + 137466202043.

Almost surely, 2121932520819200 is an apocalyptic number.

121932520819200 is a gapful number since it is divisible by the number (10) 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 121932520819200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293099384438784).

121932520819200 is an abundant number, since it is smaller than the sum of its proper divisors (464266248058368).

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

121932520819200 is a wasteful number, since it uses less digits than its factorization.

121932520819200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 121932520819200 in words is "one hundred twenty-one trillion, nine hundred thirty-two billion, five hundred twenty million, eight hundred nineteen thousand, two hundred".