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121311221232132 = 223253167380720387
BaseRepresentation
bin11011100101010011111000…
…001111111011001000000100
3120220112020110120212010211200
4123211103320033323020010
5111400030340113412012
61110001334454302500
734360306102566201
oct3345237017731004
9526466416763750
10121311221232132
1135720888899168
1211732b16657a30
13528c7a322ac29
1421d56cca36ca8
15e058b376a3dc
hex6e54f83fb204

121311221232132 has 72 divisors (see below), whose sum is σ = 314304477754176. Its totient is φ = 39436540463424.

The previous prime is 121311221232121. The next prime is 121311221232133. The reversal of 121311221232132 is 231232122113121.

121311221232132 is a `hidden beast` number, since 1 + 2 + 1 + 311 + 2 + 21 + 2 + 321 + 3 + 2 = 666.

121311221232132 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 121311221232096 and 121311221232105.

It is not an unprimeable number, because it can be changed into a prime (121311221232133) 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, 190041558 + ... + 190678829.

It is an arithmetic number, because the mean of its divisors is an integer number (4365339968808).

Almost surely, 2121311221232132 is an apocalyptic number.

121311221232132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121311221232132 is an abundant number, since it is smaller than the sum of its proper divisors (192993256522044).

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

121311221232132 is a wasteful number, since it uses less digits than its factorization.

121311221232132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380720617 (or 380720612 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

Adding to 121311221232132 its reverse (231232122113121), we get a palindrome (352543343345253).

The spelling of 121311221232132 in words is "one hundred twenty-one trillion, three hundred eleven billion, two hundred twenty-one million, two hundred thirty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 167 212 318 334 477 501 636 668 954 1002 1503 1908 2004 3006 6012 8851 17702 26553 35404 53106 79659 106212 159318 318636 380720387 761440774 1142161161 1522881548 2284322322 3426483483 4568644644 6852966966 13705933932 20178180511 40356361022 60534541533 63580304629 80712722044 121069083066 127160609258 181603624599 190740913887 242138166132 254321218516 363207249198 381481827774 572222741661 726414498396 762963655548 1144445483322 2288890966644 3369756145337 6739512290674 10109268436011 13479024581348 20218536872022 30327805308033 40437073744044 60655610616066 121311221232132