Search a number
-
+
1210201212000 = 2535311231912087
BaseRepresentation
bin10001100111000101100…
…111010000010001100000
311021200202000002101002010
4101213011213100101200
5124311443002241000
62323543031552520
7153301625400624
oct21470547202140
94250660071063
101210201212000
11427275041710
12176665b2b740
138a176b95021
14428072a7184
1521730591d50
hex119c59d0460

1210201212000 has 768 divisors, whose sum is σ = 4538886782976. Its totient is φ = 279023360000.

The previous prime is 1210201211987. The next prime is 1210201212029. The reversal of 1210201212000 is 2121020121.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 579874957 + ... + 579877043.

It is an arithmetic number, because the mean of its divisors is an integer number (5910008832).

Almost surely, 21210201212000 is an apocalyptic number.

1210201212000 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 1210201212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2269443391488).

1210201212000 is an abundant number, since it is smaller than the sum of its proper divisors (3328685570976).

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

1210201212000 is a wasteful number, since it uses less digits than its factorization.

1210201212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2340 (or 2322 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1210201212000 its reverse (2121020121), we get a palindrome (1212322232121).

The spelling of 1210201212000 in words is "one trillion, two hundred ten billion, two hundred one million, two hundred twelve thousand".