Search a number
-
+
12210021201000 = 2335372337683231
BaseRepresentation
bin1011000110101101110111…
…1110011111010001101000
31121020021012101000112201110
42301223131332133101220
53100022110411413000
641545112321150320
72400100464531660
oct261533576372150
947207171015643
1012210021201000
1139882717206a7
12145247348b3a0
136a7527c1019c
14302d7a9811a0
1516292603e850
hexb1addf9f468

12210021201000 has 512 divisors, whose sum is σ = 46658295889920. Its totient is φ = 2597367168000.

The previous prime is 12210021200999. The next prime is 12210021201163. The reversal of 12210021201000 is 10212001221.

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

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, 17529385 + ... + 18212615.

It is an arithmetic number, because the mean of its divisors is an integer number (91129484160).

Almost surely, 212210021201000 is an apocalyptic number.

12210021201000 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 12210021201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23329147944960).

12210021201000 is an abundant number, since it is smaller than the sum of its proper divisors (34448274688920).

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

12210021201000 is a wasteful number, since it uses less digits than its factorization.

12210021201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 683322 (or 683308 counting only the distinct ones).

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

Adding to 12210021201000 its reverse (10212001221), we get a palindrome (12220233202221).

The spelling of 12210021201000 in words is "twelve trillion, two hundred ten billion, twenty-one million, two hundred one thousand".