Search a number
-
+
12122230200000 = 2635536755051
BaseRepresentation
bin1011000001100110110100…
…1110011001011011000000
31120220212121001202121112220
42300121231032121123000
53042102311412400000
641440513051251040
72360542110404514
oct260315516313300
946825531677486
1012122230200000
113954010a16218
121439452449a80
1369c17695060b
142dca0d1c4144
151604d8aab1a0
hexb066d3996c0

12122230200000 has 336 divisors, whose sum is σ = 40199150089728. Its totient is φ = 3223728000000.

The previous prime is 12122230199993. The next prime is 12122230200071. The reversal of 12122230200000 is 203222121.

It is a happy number.

It is a super-3 number, since 3×121222302000003 (a number of 40 digits) contains 333 as substring.

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

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, 220172475 + ... + 220227525.

It is an arithmetic number, because the mean of its divisors is an integer number (119640327648).

Almost surely, 212122230200000 is an apocalyptic number.

12122230200000 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 12122230200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20099575044864).

12122230200000 is an abundant number, since it is smaller than the sum of its proper divisors (28076919889728).

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

12122230200000 is an frugal number, since it uses more digits than its factorization.

12122230200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55458 (or 55428 counting only the distinct ones).

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

Adding to 12122230200000 its reverse (203222121), we get a palindrome (12122433422121).

The spelling of 12122230200000 in words is "twelve trillion, one hundred twenty-two billion, two hundred thirty million, two hundred thousand".