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1214790012 = 22321747157269
BaseRepresentation
bin100100001101000…
…0011100101111100
310010122211201121200
41020122003211330
54441441240022
6320313055500
742050354562
oct11032034574
93118751550
101214790012
11573798797
1229a9b7590
131648a2377
14b749da32
15719acbac
hex4868397c

1214790012 has 144 divisors (see below), whose sum is σ = 3354099840. Its totient is φ = 369248256.

The previous prime is 1214789977. The next prime is 1214790041. The reversal of 1214790012 is 2100974121.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4515814 + ... + 4516082.

It is an arithmetic number, because the mean of its divisors is an integer number (23292360).

Almost surely, 21214790012 is an apocalyptic number.

1214790012 is a gapful number since it is divisible by the number (12) 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 1214790012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1677049920).

1214790012 is an abundant number, since it is smaller than the sum of its proper divisors (2139309828).

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

1214790012 is a wasteful number, since it uses less digits than its factorization.

1214790012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 1214790012 is about 34853.8378374606. The cubic root of 1214790012 is about 1067.0065141499.

The spelling of 1214790012 in words is "one billion, two hundred fourteen million, seven hundred ninety thousand, twelve".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 47 51 68 94 102 141 153 157 188 204 269 282 306 314 423 471 538 564 612 628 799 807 846 942 1076 1413 1598 1614 1692 1884 2397 2421 2669 2826 3196 3228 4573 4794 4842 5338 5652 7191 7379 8007 9146 9588 9684 10676 12643 13719 14382 14758 16014 18292 22137 24021 25286 27438 28764 29516 32028 37929 41157 42233 44274 48042 50572 54876 66411 75858 82314 84466 88548 96084 113787 125443 126699 132822 151716 164628 168932 214931 227574 250886 253398 265644 376329 380097 429862 455148 501772 506796 644793 717961 752658 760194 859724 1128987 1289586 1435922 1505316 1520388 1934379 1984951 2153883 2257974 2579172 2871844 3868758 3969902 4307766 4515948 5954853 6461649 7737516 7939804 8615532 11909706 12923298 17864559 23819412 25846596 33744167 35729118 67488334 71458236 101232501 134976668 202465002 303697503 404930004 607395006 1214790012