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12141040606400 = 265217446361787
BaseRepresentation
bin1011000010101100111001…
…1010011001110011000000
31120222200010222212021011102
42300223032122121303000
53042404322343401100
641453303403433532
72362106206254506
oct260531632316300
946880128767142
1012141040606400
113960a939a6a32
121441021b258a8
136a0b83a385c4
142dd8b54c8676
15160c3a194cd5
hexb0ace699cc0

12141040606400 has 84 divisors (see below), whose sum is σ = 31631874468408. Its totient is φ = 4570744688640.

The previous prime is 12141040606397. The next prime is 12141040606403. The reversal of 12141040606400 is 460604014121.

It is an interprime number because it is at equal distance from previous prime (12141040606397) and next prime (12141040606403).

It is not an unprimeable number, because it can be changed into a prime (12141040606403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 223153694 + ... + 223208093.

Almost surely, 212141040606400 is an apocalyptic number.

12141040606400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12141040606400 is an abundant number, since it is smaller than the sum of its proper divisors (19490833862008).

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

12141040606400 is a wasteful number, since it uses less digits than its factorization.

12141040606400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446361826 (or 446361811 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The spelling of 12141040606400 in words is "twelve trillion, one hundred forty-one billion, forty million, six hundred six thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 64 68 80 85 100 136 160 170 200 272 320 340 400 425 544 680 800 850 1088 1360 1600 1700 2720 3400 5440 6800 13600 27200 446361787 892723574 1785447148 2231808935 3570894296 4463617870 7141788592 7588150379 8927235740 11159044675 14283577184 15176300758 17854471480 22318089350 28567154368 30352601516 35708942960 37940751895 44636178700 60705203032 71417885920 75881503790 89272357400 121410406064 142835771840 151763007580 178544714800 189703759475 242820812128 303526015160 357089429600 379407518950 485641624256 607052030320 714178859200 758815037900 1214104060640 1517630075800 2428208121280 3035260151600 6070520303200 12141040606400