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12506201351120 = 24511313723100811
BaseRepresentation
bin1011010111111101001110…
…1100000110001111010000
31122021120200200020002112002
42311333103230012033100
53114400200021213440
642333134121453132
72430354220342631
oct265772354061720
948246620202462
1012506201351120
113a91939699174
12149b9516411a8
136c9439544699
14313436665888
1516a4ad1b1115
hexb5fd3b063d0

12506201351120 has 80 divisors (see below), whose sum is σ = 29336664601152. Its totient is φ = 4957800314880.

The previous prime is 12506201351093. The next prime is 12506201351123. The reversal of 12506201351120 is 2115310260521.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12506201351123) 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, 124005515 + ... + 124106325.

Almost surely, 212506201351120 is an apocalyptic number.

12506201351120 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 12506201351120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14668332300576).

12506201351120 is an abundant number, since it is smaller than the sum of its proper divisors (16830463250032).

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

12506201351120 is a wasteful number, since it uses less digits than its factorization.

12506201351120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114660 (or 114654 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 29.

The spelling of 12506201351120 in words is "twelve trillion, five hundred six billion, two hundred one million, three hundred fifty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 113 226 452 565 904 1130 1808 2260 4520 9040 13723 27446 54892 68615 100811 109784 137230 201622 219568 274460 403244 504055 548920 806488 1008110 1097840 1550699 1612976 2016220 3101398 4032440 6202796 7753495 8064880 11391643 12405592 15506990 22783286 24811184 31013980 45566572 56958215 62027960 91133144 113916430 124055920 182266288 227832860 455665720 911331440 1383429353 2766858706 5533717412 6917146765 11067434824 13834293530 22134869648 27668587060 55337174120 110674348240 156327516889 312655033778 625310067556 781637584445 1250620135112 1563275168890 2501240270224 3126550337780 6253100675560 12506201351120