Search a number
-
+
12121010300 = 22527167103687
BaseRepresentation
bin10110100100111011…
…11111000001111100
31011021201211010021102
423102131333001330
5144310434312200
65322431152232
7606240613310
oct132235770174
934251733242
1012121010300
11515aaa3493
122423375678
1311b2253559
1482db1bb40
154ae1c56d5
hex2d277f07c

12121010300 has 72 divisors (see below), whose sum is σ = 30240397824. Its totient is φ = 4130850240.

The previous prime is 12121010299. The next prime is 12121010311. The reversal of 12121010300 is 301012121.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65057 + ... + 168743.

Almost surely, 212121010300 is an apocalyptic number.

12121010300 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 12121010300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15120198912).

12121010300 is an abundant number, since it is smaller than the sum of its proper divisors (18119387524).

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

12121010300 is a wasteful number, since it uses less digits than its factorization.

12121010300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103875 (or 103868 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 12121010300 its reverse (301012121), we get a palindrome (12422022421).

The spelling of 12121010300 in words is "twelve billion, one hundred twenty-one million, ten thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 167 175 334 350 668 700 835 1169 1670 2338 3340 4175 4676 5845 8350 11690 16700 23380 29225 58450 103687 116900 207374 414748 518435 725809 1036870 1451618 2073740 2592175 2903236 3629045 5184350 7258090 10368700 14516180 17315729 18145225 34631458 36290450 69262916 72580900 86578645 121210103 173157290 242420206 346314580 432893225 484840412 606050515 865786450 1212101030 1731572900 2424202060 3030252575 6060505150 12121010300