Search a number
-
+
12100243200000 = 2113553717033
BaseRepresentation
bin1011000000010100111010…
…1100101001100000000000
31120211202211202100021201120
42300011032230221200000
53041222244224400000
641422435221432240
72356133210111634
oct260051654514000
946752752307646
1012100243200000
11394575891973a
121435136b6b680
1369a081700847
142db925068dc4
1515eb4d6996a0
hexb014eb29800

12100243200000 has 576 divisors, whose sum is σ = 41413923401760. Its totient is φ = 3139338240000.

The previous prime is 12100243199983. The next prime is 12100243200011. The reversal of 12100243200000 is 234200121.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 710391484 + ... + 710408516.

Almost surely, 212100243200000 is an apocalyptic number.

12100243200000 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 12100243200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20706961700880).

12100243200000 is an abundant number, since it is smaller than the sum of its proper divisors (29313680201760).

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

12100243200000 is an frugal number, since it uses more digits than its factorization.

12100243200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17120 (or 17080 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 12100243200000 its reverse (234200121), we get a palindrome (12100477400121).

The spelling of 12100243200000 in words is "twelve trillion, one hundred billion, two hundred forty-three million, two hundred thousand".