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12131452212000 = 25353111723235051
BaseRepresentation
bin1011000010001001001011…
…1001100101001100100000
31120221202101202121100202220
42300202102321211030200
53042230203231241000
641445040123111040
72361316460252052
oct260422271451440
946852352540686
1012131452212000
113957a13564340
12143b1a6972480
1369ccb63c4054
142dd245cab8d2
151608784de1a0
hexb0892e65320

12131452212000 has 768 divisors, whose sum is σ = 47902048137216. Its totient is φ = 2647603200000.

The previous prime is 12131452211993. The next prime is 12131452212053. The reversal of 12131452212000 is 21225413121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 51494475 + ... + 51729525.

It is an arithmetic number, because the mean of its divisors is an integer number (62372458512).

Almost surely, 212131452212000 is an apocalyptic number.

12131452212000 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 12131452212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23951024068608).

12131452212000 is an abundant number, since it is smaller than the sum of its proper divisors (35770595925216).

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

12131452212000 is a wasteful number, since it uses less digits than its factorization.

12131452212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235130 (or 235112 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 12131452212000 its reverse (21225413121), we get a palindrome (12152677625121).

The spelling of 12131452212000 in words is "twelve trillion, one hundred thirty-one billion, four hundred fifty-two million, two hundred twelve thousand".