Search a number
-
+
1212120000000 = 29325771337
BaseRepresentation
bin10001101000110111111…
…110110110011000000000
311021212200201121220101100
4101220313332312120000
5124324410210000000
62324501254134400
7153400315001010
oct21506776663000
94255621556340
101212120000000
1142806a15a518
12176b00651400
138a3c1576440
144294a061c40
15217e3c61a00
hex11a37fb6600

1212120000000 has 1920 divisors, whose sum is σ = 5527382724864. Its totient is φ = 248832000000.

The previous prime is 1212119999977. The next prime is 1212120000001. The reversal of 1212120000000 is 212121.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1212120000001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 32759999982 + ... + 32760000018.

Almost surely, 21212120000000 is an apocalyptic number.

1212120000000 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 1212120000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2763691362432).

1212120000000 is an abundant number, since it is smaller than the sum of its proper divisors (4315262724864).

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

1212120000000 is an frugal number, since it uses more digits than its factorization.

1212120000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1212120000000 its reverse (212121), we get a palindrome (1212120212121).

The spelling of 1212120000000 in words is "one trillion, two hundred twelve billion, one hundred twenty million", and thus it is an aban number.