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12110201101201 = 729714891711153
BaseRepresentation
bin1011000000111010000000…
…1111000001101110010001
31120212201112201220002011011
42300032200033001232101
53041403142440214301
641431203302050521
72356635033634600
oct260164017015621
946781481802134
1012110201101201
1139499a889a255
121437055a19a41
1369acaa76b088
142dc1cb78da37
151600329dda51
hexb03a03c1b91

12110201101201 has 24 divisors (see below), whose sum is σ = 14242174303560. Its totient is φ = 10266254917632.

The previous prime is 12110201101181. The next prime is 12110201101211. The reversal of 12110201101201 is 10210110201121.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3801423676176 + 8308777425025 = 1949724^2 + 2882495^2 .

It is not a de Polignac number, because 12110201101201 - 29 = 12110201100689 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12110201101211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6221641 + ... + 7932793.

It is an arithmetic number, because the mean of its divisors is an integer number (593423929315).

Almost surely, 212110201101201 is an apocalyptic number.

It is an amenable number.

12110201101201 is a deficient number, since it is larger than the sum of its proper divisors (2131973202359).

12110201101201 is a wasteful number, since it uses less digits than its factorization.

12110201101201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1712753 (or 1712746 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 12110201101201 its reverse (10210110201121), we get a palindrome (22320311302322).

The spelling of 12110201101201 in words is "twelve trillion, one hundred ten billion, two hundred one million, one hundred one thousand, two hundred one".

Divisors: 1 7 49 97 679 1489 4753 10423 72961 144433 1011031 1711153 7077217 11978071 83846497 165981841 1161872887 2547906817 8133110209 17835347719 124847434033 247146961249 1730028728743 12110201101201