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12342411132400 = 245244516932381
BaseRepresentation
bin1011001110011011000100…
…0001111111110111110000
31121200220220212000212220001
42303212301001333313300
53104204224222214100
642130005252555344
72412465311426236
oct263466101776760
947626825025801
1012342411132400
113a29429355648
121474060622b54
136b6b65c867bb
14309539608956
151660c3adad6a
hexb39b107fdf0

12342411132400 has 60 divisors (see below), whose sum is σ = 29659309042104. Its totient is φ = 4935854560000.

The previous prime is 12342411132367. The next prime is 12342411132409. The reversal of 12342411132400 is 423111424321.

It is a happy number.

It is a super-2 number, since 2×123424111324002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12342411132409) 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, 1685791 + ... + 5246590.

Almost surely, 212342411132400 is an apocalyptic number.

12342411132400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12342411132400 is an abundant number, since it is smaller than the sum of its proper divisors (17316897909704).

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

12342411132400 is a wasteful number, since it uses less digits than its factorization.

12342411132400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6936850 (or 6936839 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 12342411132400 its reverse (423111424321), we get a palindrome (12765522556721).

The spelling of 12342411132400 in words is "twelve trillion, three hundred forty-two billion, four hundred eleven million, one hundred thirty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 4451 8902 17804 22255 35608 44510 71216 89020 111275 178040 222550 356080 445100 890200 1780400 6932381 13864762 27729524 34661905 55459048 69323810 110918096 138647620 173309525 277295240 346619050 554590480 693238100 1386476200 2772952400 30856027831 61712055662 123424111324 154280139155 246848222648 308560278310 493696445296 617120556620 771400695775 1234241113240 1542801391550 2468482226480 3085602783100 6171205566200 12342411132400