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12010022211000 = 23353114110187887
BaseRepresentation
bin1010111011000100110100…
…0110111000110110111000
31120112010222002122011200110
42232301031012320312320
53033233011141223000
641313154504504320
72346460355262402
oct256611506706670
946463862564613
1012010022211000
11391047048a310
12141b75817b0a0
13691703b85958
142d7406a83b72
1515c61cc19850
hexaec4d1b8db8

12010022211000 has 512 divisors, whose sum is σ = 42289849405440. Its totient is φ = 2812352000000.

The previous prime is 12010022210929. The next prime is 12010022211001. The reversal of 12010022211000 is 11222001021.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12010022211001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 136609057 + ... + 136696943.

It is an arithmetic number, because the mean of its divisors is an integer number (82597362120).

Almost surely, 212010022211000 is an apocalyptic number.

12010022211000 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 12010022211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21144924702720).

12010022211000 is an abundant number, since it is smaller than the sum of its proper divisors (30279827194440).

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

12010022211000 is a wasteful number, since it uses less digits than its factorization.

12010022211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88064 (or 88050 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12010022211000 its reverse (11222001021), we get a palindrome (12021244212021).

The spelling of 12010022211000 in words is "twelve trillion, ten billion, twenty-two million, two hundred eleven thousand".