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121391424000 = 29325372111723
BaseRepresentation
bin111000100001101111…
…1100010001000000000
3102121022222101021101200
41301003133202020000
53442102201032000
6131433315301200
711525123036100
oct1610337421000
9377288337350
10121391424000
1147533326610
121b6398aa800
13b5a7552492
145c38065200
153257204500
hex1c437e2200

121391424000 has 2880 divisors, whose sum is σ = 613032406272. Its totient is φ = 22708224000.

The previous prime is 121391423969. The next prime is 121391424013. The reversal of 121391424000 is 424193121.

It is a happy number.

121391424000 is a `hidden beast` number, since 1 + 213 + 9 + 1 + 42 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5277887989 + ... + 5277888011.

Almost surely, 2121391424000 is an apocalyptic number.

121391424000 is a gapful number since it is divisible by the number (10) 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 121391424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306516203136).

121391424000 is an abundant number, since it is smaller than the sum of its proper divisors (491640982272).

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

121391424000 is a wasteful number, since it uses less digits than its factorization.

121391424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 68 counting only the distinct ones).

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

The spelling of 121391424000 in words is "one hundred twenty-one billion, three hundred ninety-one million, four hundred twenty-four thousand".