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12230231630544 = 243317234310715737
BaseRepresentation
bin1011000111111001001010…
…0111001010001011010000
31121022012100212111202001000
42301332102213022023100
53100340003244134134
642002254004542000
72401414353412044
oct261762247121320
947265325452030
1012230231630544
1139958a2a06534
1214563739b1900
136a93c9084335
14303d36ba2024
1516320a4c4e99
hexb1f929ca2d0

12230231630544 has 640 divisors, whose sum is σ = 40061887303680. Its totient is φ = 3551032590336.

The previous prime is 12230231630537. The next prime is 12230231630569. The reversal of 12230231630544 is 44503613203221.

12230231630544 is a `hidden beast` number, since 1 + 2 + 2 + 30 + 2 + 316 + 305 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12230231630499 and 12230231630508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 777156244 + ... + 777171980.

It is an arithmetic number, because the mean of its divisors is an integer number (62596698912).

Almost surely, 212230231630544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12230231630544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20030943651840).

12230231630544 is an abundant number, since it is smaller than the sum of its proper divisors (27831655673136).

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

12230231630544 is a wasteful number, since it uses less digits than its factorization.

12230231630544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15944 (or 15932 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 12230231630544 its reverse (44503613203221), we get a palindrome (56733844833765).

The spelling of 12230231630544 in words is "twelve trillion, two hundred thirty billion, two hundred thirty-one million, six hundred thirty thousand, five hundred forty-four".