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12343332211140 = 2235729388886217
BaseRepresentation
bin1011001110011110011111…
…1011101000100111000100
31121201000022001012112101110
42303213213323220213010
53104213121021224030
642130240514525020
72412530164446060
oct263474773504704
947630261175343
1012343332211140
113a29861274747
121474278b96770
136b6c81a505c8
143095c5a90aa0
151661298cd1b0
hexb39e7ee89c4

12343332211140 has 48 divisors (see below), whose sum is σ = 39498663076992. Its totient is φ = 2821333076736.

The previous prime is 12343332211139. The next prime is 12343332211201. The reversal of 12343332211140 is 4111223334321.

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

It is a junction number, because it is equal to n+sod(n) for n = 12343332211098 and 12343332211107.

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, 14694442689 + ... + 14694443528.

It is an arithmetic number, because the mean of its divisors is an integer number (822888814104).

Almost surely, 212343332211140 is an apocalyptic number.

12343332211140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12343332211140 is an abundant number, since it is smaller than the sum of its proper divisors (27155330865852).

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

12343332211140 is a wasteful number, since it uses less digits than its factorization.

12343332211140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29388886236 (or 29388886234 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 12343332211140 its reverse (4111223334321), we get a palindrome (16454555545461).

The spelling of 12343332211140 in words is "twelve trillion, three hundred forty-three billion, three hundred thirty-two million, two hundred eleven thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 29388886217 58777772434 88166658651 117555544868 146944431085 176333317302 205722203519 293888862170 352666634604 411444407038 440833293255 587777724340 617166610557 822888814076 881666586510 1028611017595 1234333221114 1763333173020 2057222035190 2468666442228 3085833052785 4114444070380 6171666105570 12343332211140