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12123213220200 = 23352311574151501
BaseRepresentation
bin1011000001101010011111…
…0100010100100101101000
31120220222010120111012202110
42300122213310110211220
53042111320041021300
641441154405002320
72360605345055565
oct260324764244550
946828116435673
1012123213220200
1139544758a1905
1214396876b33a0
1369c2a24c3c84
142dcaa399186c
15160545036550
hexb06a7d14968

12123213220200 has 192 divisors, whose sum is σ = 39041389048320. Its totient is φ = 3108643200000.

The previous prime is 12123213220199. The next prime is 12123213220273. The reversal of 12123213220200 is 202231232121.

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, 844450 + ... + 4995950.

It is an arithmetic number, because the mean of its divisors is an integer number (203340567960).

Almost surely, 212123213220200 is an apocalyptic number.

12123213220200 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 12123213220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19520694524160).

12123213220200 is an abundant number, since it is smaller than the sum of its proper divisors (26918175828120).

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

12123213220200 is a wasteful number, since it uses less digits than its factorization.

12123213220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4151708 (or 4151699 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 12123213220200 its reverse (202231232121), we get a palindrome (12325444452321).

The spelling of 12123213220200 in words is "twelve trillion, one hundred twenty-three billion, two hundred thirteen million, two hundred twenty thousand, two hundred".