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12213313010000 = 24541221331301
BaseRepresentation
bin1011000110111010001000…
…1011101111100101010000
31121020120200210010202202022
42301232202023233211100
53100100331112310000
641550415112111012
72400245165460524
oct261564213574520
947216623122668
1012213313010000
113989700880503
121453031995468
136a7930bb516b
143031adc27d84
15162a6a025585
hexb1ba22ef950

12213313010000 has 50 divisors (see below), whose sum is σ = 29569652152722. Its totient is φ = 4885325200000.

The previous prime is 12213313009973. The next prime is 12213313010033. The reversal of 12213313010000 is 1031331221.

12213313010000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 8997144226576 + 3216168783424 = 2999524^2 + 1793368^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 610655651 + ... + 610675650.

Almost surely, 212213313010000 is an apocalyptic number.

12213313010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12213313010000 is an abundant number, since it is smaller than the sum of its proper divisors (17356339142722).

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

12213313010000 is an equidigital number, since it uses as much as digits as its factorization.

12213313010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1221331329 (or 1221331308 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 12213313010000 its reverse (1031331221), we get a palindrome (12214344341221).

The spelling of 12213313010000 in words is "twelve trillion, two hundred thirteen billion, three hundred thirteen million, ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 1221331301 2442662602 4885325204 6106656505 9770650408 12213313010 19541300816 24426626020 30533282525 48853252040 61066565050 97706504080 122133130100 152666412625 244266260200 305332825250 488532520400 610665650500 763332063125 1221331301000 1526664126250 2442662602000 3053328252500 6106656505000 12213313010000