Search a number
-
+
12121020120000 = 26354112834781
BaseRepresentation
bin1011000001100010010100…
…0110010011101111000000
31120220202110201210011212010
42300120211012103233000
53042042322122320000
641440153023132520
72360500115034501
oct260304506235700
946822421704763
1012121020120000
11395354a955200
121439175144140
1369c01303a04c
142dc9365ccba8
1516046772dd50
hexb0625193bc0

12121020120000 has 420 divisors, whose sum is σ = 44049345828488. Its totient is φ = 2938425600000.

The previous prime is 12121020119987. The next prime is 12121020120007. The reversal of 12121020120000 is 2102012121.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12121020120007) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 14102610 + ... + 14937390.

Almost surely, 212121020120000 is an apocalyptic number.

12121020120000 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 12121020120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22024672914244).

12121020120000 is an abundant number, since it is smaller than the sum of its proper divisors (31928325708488).

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

12121020120000 is an equidigital number, since it uses as much as digits as its factorization.

12121020120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834838 (or 834802 counting only the distinct ones).

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

Adding to 12121020120000 its reverse (2102012121), we get a palindrome (12123122132121).

The spelling of 12121020120000 in words is "twelve trillion, one hundred twenty-one billion, twenty million, one hundred twenty thousand".