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12501250680 = 2335374365479
BaseRepresentation
bin10111010010010000…
…11111001001111000
31012021020022100000110
423221020133021320
5201100310010210
65424253104320
7621535606662
oct135110371170
935236270013
1012501250680
1153356a2736
12250a7880a0
131242c66c69
1486841b532
154d2784420
hex2e921f278

12501250680 has 128 divisors (see below), whose sum is σ = 39413721600. Its totient is φ = 3168087552.

The previous prime is 12501250633. The next prime is 12501250691. The reversal of 12501250680 is 8605210521.

12501250680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 158181 + ... + 223659.

It is an arithmetic number, because the mean of its divisors is an integer number (307919700).

Almost surely, 212501250680 is an apocalyptic number.

12501250680 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 12501250680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19706860800).

12501250680 is an abundant number, since it is smaller than the sum of its proper divisors (26912470920).

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

12501250680 is a wasteful number, since it uses less digits than its factorization.

12501250680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65573 (or 65569 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The spelling of 12501250680 in words is "twelve billion, five hundred one million, two hundred fifty thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 43 60 74 86 111 120 129 148 172 185 215 222 258 296 344 370 430 444 516 555 645 740 860 888 1032 1110 1290 1480 1591 1720 2220 2580 3182 4440 4773 5160 6364 7955 9546 12728 15910 19092 23865 31820 38184 47730 63640 65479 95460 130958 190920 196437 261916 327395 392874 523832 654790 785748 982185 1309580 1571496 1964370 2422723 2619160 2815597 3928740 4845446 5631194 7268169 7857480 8446791 9690892 11262388 12113615 14077985 14536338 16893582 19381784 22524776 24227230 28155970 29072676 33787164 36340845 42233955 48454460 56311940 58145352 67574328 72681690 84467910 96908920 104177089 112623880 145363380 168935820 208354178 290726760 312531267 337871640 416708356 520885445 625062534 833416712 1041770890 1250125068 1562656335 2083541780 2500250136 3125312670 4167083560 6250625340 12501250680