Search a number
-
+
1210012099968 = 27375037271231
BaseRepresentation
bin10001100110111010010…
…101110110010110000000
311021200020211020111010210
4101212322111312112000
5124311101044144333
62323512154354120
7153264141101610
oct21467225662600
94250224214123
101210012099968
11427188315a81
1217661272b940
138a146950809
14427ca11aa40
152171db88a63
hex119ba576580

1210012099968 has 256 divisors, whose sum is σ = 3688610365440. Its totient is φ = 344275937280.

The previous prime is 1210012099949. The next prime is 1210012099981. The reversal of 1210012099968 is 8699902100121.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 31 ways as a sum of consecutive naturals, for example, 982949913 + ... + 982951143.

It is an arithmetic number, because the mean of its divisors is an integer number (14408634240).

Almost surely, 21210012099968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1210012099968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1844305182720).

1210012099968 is an abundant number, since it is smaller than the sum of its proper divisors (2478598265472).

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

1210012099968 is a wasteful number, since it uses less digits than its factorization.

1210012099968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2485 (or 2473 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 48.

The spelling of 1210012099968 in words is "one trillion, two hundred ten billion, twelve million, ninety-nine thousand, nine hundred sixty-eight".