Search a number
-
+
121498392960 = 27345736833
BaseRepresentation
bin111000100100111011…
…1100101100110000000
3102121121102122212020000
41301021313211212000
53442312042033320
6131452100120000
711530562205000
oct1611167454600
9377542585200
10121498392960
1147588747a0a
121b669696000
13b5c3766019
145c4834c000
1532617d3c90
hex1c49de5980

121498392960 has 640 divisors, whose sum is σ = 506071368000. Its totient is φ = 27766996992.

The previous prime is 121498392937. The next prime is 121498392971. The reversal of 121498392960 is 69293894121.

121498392960 is a `hidden beast` number, since 1 + 2 + 1 + 498 + 3 + 92 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 121498392897 and 121498392906.

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 79 ways as a sum of consecutive naturals, for example, 17777704 + ... + 17784536.

Almost surely, 2121498392960 is an apocalyptic number.

121498392960 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 121498392960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253035684000).

121498392960 is an abundant number, since it is smaller than the sum of its proper divisors (384572975040).

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

121498392960 is an frugal number, since it uses more digits than its factorization.

121498392960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6885 (or 6850 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 121498392960 in words is "one hundred twenty-one billion, four hundred ninety-eight million, three hundred ninety-two thousand, nine hundred sixty".