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12061211211072 = 263417261271487
BaseRepresentation
bin1010111110000011100000…
…1101011011010101000000
31120201001002112202210210000
42233200320031123111000
53040102330032223242
641352502142440000
72353252025510562
oct257407015332500
946631075683700
1012061211211072
113930149325751
121429663293000
136964a10680ca
142d9aa127d332
1515db16b75a4c
hexaf83835b540

12061211211072 has 840 divisors, whose sum is σ = 38824679767808. Its totient is φ = 3700529971200.

The previous prime is 12061211211047. The next prime is 12061211211079. The reversal of 12061211211072 is 27011211216021.

12061211211072 is a `hidden beast` number, since 1 + 2 + 0 + 612 + 11 + 21 + 10 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12061211211079) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 24766347213 + ... + 24766347699.

Almost surely, 212061211211072 is an apocalyptic number.

12061211211072 is a gapful number since it is divisible by the number (12) 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 12061211211072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19412339883904).

12061211211072 is an abundant number, since it is smaller than the sum of its proper divisors (26763468556736).

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

12061211211072 is a wasteful number, since it uses less digits than its factorization.

12061211211072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 877 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 27.

Adding to 12061211211072 its reverse (27011211216021), we get a palindrome (39072422427093).

The spelling of 12061211211072 in words is "twelve trillion, sixty-one billion, two hundred eleven million, two hundred eleven thousand, seventy-two".