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13211212300000 = 25551113923861
BaseRepresentation
bin1100000000111111100110…
…0111011011111011100000
31201202222110002201001212021
43000033321213123323200
53212423030322100000
644033051441111224
72532323104464601
oct300177147337340
951688402631767
1013211212300000
114233930a22930
121594508328514
1374aa72ba4920
143395d727bda8
1517d9c213411a
hexc03f99dbee0

13211212300000 has 288 divisors, whose sum is σ = 38193475023648. Its totient is φ = 4434528000000.

The previous prime is 13211212299949. The next prime is 13211212300001. The reversal of 13211212300000 is 321211231.

It is a super-2 number, since 2×132112123000002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13211212300001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13838070 + ... + 14761930.

It is an arithmetic number, because the mean of its divisors is an integer number (132616232721).

Almost surely, 213211212300000 is an apocalyptic number.

13211212300000 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 13211212300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19096737511824).

13211212300000 is an abundant number, since it is smaller than the sum of its proper divisors (24982262723648).

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

13211212300000 is an equidigital number, since it uses as much as digits as its factorization.

13211212300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 923920 (or 923892 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 13211212300000 its reverse (321211231), we get a palindrome (13211533511231).

The spelling of 13211212300000 in words is "thirteen trillion, two hundred eleven billion, two hundred twelve million, three hundred thousand".