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12011211220020 = 22351941271948263
BaseRepresentation
bin1010111011001001001111…
…1110100110010000110100
31120112021000221222002102120
42232302103332212100310
53033242430033020040
641313512501235540
72346532003553115
oct256622376462064
946467027862376
1012011211220020
113910a206693a1
12141ba2a402bb0
136918632cc49c
142d74ba95220c
1515c68c2d37d0
hexaec93fa6434

12011211220020 has 192 divisors, whose sum is σ = 36398772264960. Its totient is φ = 2949474124800.

The previous prime is 12011211219991. The next prime is 12011211220031. The reversal of 12011211220020 is 2002211211021.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 12192409 + ... + 13140671.

It is an arithmetic number, because the mean of its divisors is an integer number (189576938880).

Almost surely, 212011211220020 is an apocalyptic number.

12011211220020 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 12011211220020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18199386132480).

12011211220020 is an abundant number, since it is smaller than the sum of its proper divisors (24387561044940).

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

12011211220020 is a wasteful number, since it uses less digits than its factorization.

12011211220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948606 (or 948604 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12011211220020 its reverse (2002211211021), we get a palindrome (14013422431041).

The spelling of 12011211220020 in words is "twelve trillion, eleven billion, two hundred eleven million, two hundred twenty thousand, twenty".