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121331442012 = 223112931695779
BaseRepresentation
bin111000011111111101…
…0101110000101011100
3102121011210111212120120
41300333322232011130
53441441322121022
6131423333514540
711523464145354
oct1607772560534
9377153455516
10121331442012
1147502488220
121b6217a2a50
13b597cb0791
145c300cdb64
153251d06d5c
hex1c3feae15c

121331442012 has 48 divisors (see below), whose sum is σ = 319493462400. Its totient is φ = 35499271360.

The previous prime is 121331441989. The next prime is 121331442019. The reversal of 121331442012 is 210244133121.

It is a super-2 number, since 2×1213314420122 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121331442019) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15844062 + ... + 15851717.

It is an arithmetic number, because the mean of its divisors is an integer number (6656113800).

Almost surely, 2121331442012 is an apocalyptic number.

121331442012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121331442012 is an abundant number, since it is smaller than the sum of its proper divisors (198162020388).

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

121331442012 is a wasteful number, since it uses less digits than its factorization.

121331442012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31695826 (or 31695824 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 121331442012 its reverse (210244133121), we get a palindrome (331575575133).

The spelling of 121331442012 in words is "one hundred twenty-one billion, three hundred thirty-one million, four hundred forty-two thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 87 116 132 174 319 348 638 957 1276 1914 3828 31695779 63391558 95087337 126783116 190174674 348653569 380349348 697307138 919177591 1045960707 1394614276 1838355182 2091921414 2757532773 3676710364 4183842828 5515065546 10110953501 11030131092 20221907002 30332860503 40443814004 60665721006 121331442012