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12210692004 = 2234728772
BaseRepresentation
bin10110101111101000…
…00101111110100100
31011111222120102110000
423113310011332210
5200001414121004
65335353301300
7611410112100
oct132764057644
934458512400
1012210692004
1151a66876a5
122449404830
1311c79c3654
1483b9c4900
154b6edcc39
hex2d7d05fa4

12210692004 has 135 divisors (see below), whose sum is σ = 37175167953. Its totient is φ = 3484791072.

The previous prime is 12210691901. The next prime is 12210692029. The reversal of 12210692004 is 40029601221.

The square root of 12210692004 is 110502.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 10288044900 + 1922647104 = 101430^2 + 43848^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 13922814 + ... + 13923690.

Almost surely, 212210692004 is an apocalyptic number.

12210692004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

12210692004 is the 110502-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12210692004

12210692004 is an abundant number, since it is smaller than the sum of its proper divisors (24964475949).

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

12210692004 is an frugal number, since it uses more digits than its factorization.

12210692004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1784 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 12210692004 in words is "twelve billion, two hundred ten million, six hundred ninety-two thousand, four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 252 294 324 378 441 567 588 756 877 882 1134 1323 1754 1764 2268 2631 2646 3508 3969 5262 5292 6139 7893 7938 10524 12278 15786 15876 18417 23679 24556 31572 36834 42973 47358 55251 71037 73668 85946 94716 110502 128919 142074 165753 171892 221004 257838 284148 331506 386757 497259 515676 663012 769129 773514 994518 1160271 1538258 1547028 1989036 2307387 2320542 3076516 3480813 4614774 4641084 5383903 6922161 6961626 9229548 10767806 13844322 13923252 16151709 20766483 21535612 27688644 32303418 37687321 41532966 48455127 62299449 64606836 75374642 83065932 96910254 113061963 124598898 145365381 150749284 193820508 226123926 249197796 290730762 339185889 436096143 452247852 581461524 678371778 872192286 1017557667 1356743556 1744384572 2035115334 3052673001 4070230668 6105346002 12210692004