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12011210211000 = 233537211133715443
BaseRepresentation
bin1010111011001001001111…
…1010101111111010111000
31120112021000220001211022110
42232302103322233322320
53033242424303223000
641313512423452320
72346531662151300
oct256622372577270
946467026054273
1012011210211000
113910a2003a2a0
12141ba29bb70a0
13691863038130
142d74ba76c600
1515c68c184850
hexaec93eafeb8

12011210211000 has 1536 divisors, whose sum is σ = 52602135505920. Its totient is φ = 2241437184000.

The previous prime is 12011210210977. The next prime is 12011210211019. The reversal of 12011210211000 is 11201211021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 777769279 + ... + 777784721.

It is an arithmetic number, because the mean of its divisors is an integer number (34246181970).

Almost surely, 212011210211000 is an apocalyptic number.

12011210211000 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 12011210211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26301067752960).

12011210211000 is an abundant number, since it is smaller than the sum of its proper divisors (40590925294920).

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

12011210211000 is a wasteful number, since it uses less digits than its factorization.

12011210211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15542 (or 15521 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12011210211000 its reverse (11201211021), we get a palindrome (12022411422021).

The spelling of 12011210211000 in words is "twelve trillion, eleven billion, two hundred ten million, two hundred eleven thousand".