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12131202111000 = 2335375077113783
BaseRepresentation
bin1011000010001000001111…
…1111100001011000011000
31120221201202022222220200220
42300202003333201120120
53042224200220023000
641444555230400040
72361310332366450
oct260420377413030
946851668886626
1012131202111000
1139578a53717a5
12143b137060020
1369cc766476ab
142dd2209a6d60
1516086158a1a0
hexb0883fe1618

12131202111000 has 256 divisors, whose sum is σ = 43265300981760. Its totient is φ = 2772275673600.

The previous prime is 12131202110987. The next prime is 12131202111013. The reversal of 12131202111000 is 11120213121.

It is an interprime number because it is at equal distance from previous prime (12131202110987) and next prime (12131202111013).

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 (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 106560109 + ... + 106673891.

It is an arithmetic number, because the mean of its divisors is an integer number (169005081960).

Almost surely, 212131202111000 is an apocalyptic number.

12131202111000 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 12131202111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21632650490880).

12131202111000 is an abundant number, since it is smaller than the sum of its proper divisors (31134098870760).

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

12131202111000 is a wasteful number, since it uses less digits than its factorization.

12131202111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118891 (or 118877 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 12131202111000 its reverse (11120213121), we get a palindrome (12142322324121).

The spelling of 12131202111000 in words is "twelve trillion, one hundred thirty-one billion, two hundred two million, one hundred eleven thousand".