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1212010220120 = 2357127148722921
BaseRepresentation
bin10001101000110001011…
…100000100101001011000
311021212102002001111200212
4101220301130010221120
5124324144104020440
62324442333150252
7153364512614030
oct21506134045130
94255362044625
101212010220120
11428013199247
12176a8b92b388
138a3a48ba32b
14429396468c0
15217d92c9465
hex11a31704a58

1212010220120 has 128 divisors (see below), whose sum is σ = 3143387381760. Its totient is φ = 411979115520.

The previous prime is 1212010220087. The next prime is 1212010220147. The reversal of 1212010220120 is 210220102121.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 1212010220095 and 1212010220104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52866260 + ... + 52889180.

It is an arithmetic number, because the mean of its divisors is an integer number (24557713920).

Almost surely, 21212010220120 is an apocalyptic number.

1212010220120 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 1212010220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1571693690880).

1212010220120 is an abundant number, since it is smaller than the sum of its proper divisors (1931377161640).

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

1212010220120 is a wasteful number, since it uses less digits than its factorization.

1212010220120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24553 (or 24549 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1212010220120 its reverse (210220102121), we get a palindrome (1422230322241).

The spelling of 1212010220120 in words is "one trillion, two hundred twelve billion, ten million, two hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 127 140 254 280 508 635 889 1016 1270 1487 1778 2540 2974 3556 4445 5080 5948 7112 7435 8890 10409 11896 14870 17780 20818 22921 29740 35560 41636 45842 52045 59480 83272 91684 104090 114605 160447 183368 188849 208180 229210 320894 377698 416360 458420 641788 755396 802235 916840 944245 1283576 1321943 1510792 1604470 1888490 2643886 2910967 3208940 3776980 5287772 5821934 6417880 6609715 7553960 10575544 11643868 13219430 14554835 20376769 23287736 26438860 29109670 34083527 40753538 52877720 58219340 68167054 81507076 101883845 116438680 136334108 163014152 170417635 203767690 238584689 272668216 340835270 407535380 477169378 681670540 815070760 954338756 1192923445 1363341080 1908677512 2385846890 4328607929 4771693780 8657215858 9543387560 17314431716 21643039645 30300255503 34628863432 43286079290 60600511006 86572158580 121201022012 151501277515 173144317160 242402044024 303002555030 606005110060 1212010220120