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12214681040 = 2455313121991
BaseRepresentation
bin10110110000000110…
…10011110111010000
31011112021002002101002
423120003103313100
5200003424243130
65340015001132
7611456034662
oct133003236720
934467062332
1012214681040
1151a8961721
12244a8091a8
1311c878c223
1483c342532
154b7529b45
hex2d80d3dd0

12214681040 has 80 divisors (see below), whose sum is σ = 29157169536. Its totient is φ = 4756876800.

The previous prime is 12214681027. The next prime is 12214681051. The reversal of 12214681040 is 4018641221.

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

It is a junction number, because it is equal to n+sod(n) for n = 12214680994 and 12214681012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 544445 + ... + 566435.

Almost surely, 212214681040 is an apocalyptic number.

12214681040 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 12214681040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14578584768).

12214681040 is an abundant number, since it is smaller than the sum of its proper divisors (16942488496).

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

12214681040 is a wasteful number, since it uses less digits than its factorization.

12214681040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22188 (or 22182 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The spelling of 12214681040 in words is "twelve billion, two hundred fourteen million, six hundred eighty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 131 212 262 265 424 524 530 655 848 1048 1060 1310 2096 2120 2620 4240 5240 6943 10480 13886 21991 27772 34715 43982 55544 69430 87964 109955 111088 138860 175928 219910 277720 351856 439820 555440 879640 1165523 1759280 2331046 2880821 4662092 5761642 5827615 9324184 11523284 11655230 14404105 18648368 23046568 23310460 28808210 46093136 46620920 57616420 93241840 115232840 152683513 230465680 305367026 610734052 763417565 1221468104 1526835130 2442936208 3053670260 6107340520 12214681040