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121062412643040 = 253251112236249247
BaseRepresentation
bin11011100001101100001010…
…000110011110101011100000
3120212122110020200121020020100
4123201230022012132223200
5111331441310114034130
61105251145442542400
734333320304512501
oct3341541206365340
9525573220536210
10121062412643040
113563530a934630
12116b2859067a00
1352721a0c46c0b
1421c764855aba8
15dee1a0341c60
hex6e1b0a19eae0

121062412643040 has 288 divisors, whose sum is σ = 451050923022336. Its totient is φ = 29324461870080.

The previous prime is 121062412643017. The next prime is 121062412643059. The reversal of 121062412643040 is 40346214260121.

121062412643040 is a `hidden beast` number, since 1 + 2 + 1 + 0 + 6 + 2 + 4 + 1 + 2 + 643 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1210624126430402 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 121062412642986 and 121062412643004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16247697 + ... + 22496943.

It is an arithmetic number, because the mean of its divisors is an integer number (1566149038272).

Almost surely, 2121062412643040 is an apocalyptic number.

121062412643040 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 121062412643040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225525461511168).

121062412643040 is an abundant number, since it is smaller than the sum of its proper divisors (329988510379296).

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

121062412643040 is a wasteful number, since it uses less digits than its factorization.

121062412643040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6250502 (or 6250491 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 121062412643040 in words is "one hundred twenty-one trillion, sixty-two billion, four hundred twelve million, six hundred forty-three thousand, forty".