Search a number
-
+
20112121320000 = 2635417127149521
BaseRepresentation
bin1001001001010101101111…
…10110001101001001000000
32122012200220022111201000020
410210222313312031021000
510114004111024220000
6110435214143053440
74144024054353513
oct444526766151100
978180808451006
1020112121320000
116454559188276
122309a448a1280
13b2b746124978
144d760907ad7a
1524d268307ba0
hex124ab7d8d240

20112121320000 has 1120 divisors, whose sum is σ = 71574608793600. Its totient is φ = 4964843520000.

The previous prime is 20112121319987. The next prime is 20112121320001. The reversal of 20112121320000 is 2312121102.

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

It is not an unprimeable number, because it can be changed into a prime (20112121320001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 38602919740 + ... + 38602920260.

Almost surely, 220112121320000 is an apocalyptic number.

20112121320000 is a gapful number since it is divisible by the number (20) 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 20112121320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35787304396800).

20112121320000 is an abundant number, since it is smaller than the sum of its proper divisors (51462487473600).

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

20112121320000 is a wasteful number, since it uses less digits than its factorization.

20112121320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 20112121320000 its reverse (2312121102), we get a palindrome (20114433441102).

The spelling of 20112121320000 in words is "twenty trillion, one hundred twelve billion, one hundred twenty-one million, three hundred twenty thousand".