Search a number
-
+
121302230000 = 2454723591277
BaseRepresentation
bin111000011111000101…
…1010010001111110000
3102121002202112202020012
41300332023102033300
53441411332330000
6131420411434052
711522660641220
oct1607613221760
9377082482205
10121302230000
1147497a45866
121b613a55928
13b591c23373
145c2a288080
15324e486735
hex1c3e2d23f0

121302230000 has 400 divisors, whose sum is σ = 356447900160. Its totient is φ = 39076224000.

The previous prime is 121302229987. The next prime is 121302230047. The reversal of 121302230000 is 32203121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 94989362 + ... + 94990638.

Almost surely, 2121302230000 is an apocalyptic number.

121302230000 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 121302230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178223950080).

121302230000 is an abundant number, since it is smaller than the sum of its proper divisors (235145670160).

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

121302230000 is a wasteful number, since it uses less digits than its factorization.

121302230000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1394 (or 1373 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 121302230000 its reverse (32203121), we get a palindrome (121334433121).

The spelling of 121302230000 in words is "one hundred twenty-one billion, three hundred two million, two hundred thirty thousand".