Search a number
-
+
121134942720 = 2934511232309
BaseRepresentation
bin111000011010000110…
…1001000101000000000
3102120200002202200020000
41300310031020220000
53441041021131340
6131352034120000
711515560011211
oct1606415105000
9376602680200
10121134942720
1147411576410
121b587a20000
13b5663809cc
145c11d7d408
15323e93ed30
hex1c34348a00

121134942720 has 800 divisors, whose sum is σ = 494102125440. Its totient is φ = 28077096960.

The previous prime is 121134942667. The next prime is 121134942737. The reversal of 121134942720 is 27249431121.

121134942720 is a `hidden beast` number, since 12 + 113 + 494 + 27 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 52460926 + ... + 52463234.

Almost surely, 2121134942720 is an apocalyptic number.

121134942720 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 121134942720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247051062720).

121134942720 is an abundant number, since it is smaller than the sum of its proper divisors (372967182720).

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

121134942720 is a wasteful number, since it uses less digits than its factorization.

121134942720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2378 (or 2353 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 121134942720 in words is "one hundred twenty-one billion, one hundred thirty-four million, nine hundred forty-two thousand, seven hundred twenty".