Search a number
-
+
121120250053140 = 2232513292669966851
BaseRepresentation
bin11011100010100010000001…
…011110101100001000010100
3120212211222112110220002100100
4123202202001132230020110
5111333413233003200030
61105333512535214100
734340435464421412
oct3342420136541024
9525758473802310
10121120250053140
113565789a613908
1211701aba817330
13527778a6404c0
1421ca373b102b2
15e00937cb7360
hex6e28817ac214

121120250053140 has 288 divisors, whose sum is σ = 409324367088000. Its totient is φ = 28784630246400.

The previous prime is 121120250053097. The next prime is 121120250053141. The reversal of 121120250053140 is 41350052021121.

It is a happy number.

121120250053140 is a `hidden beast` number, since 1 + 2 + 1 + 12 + 0 + 2 + 500 + 5 + 3 + 140 = 666.

It is a super-2 number, since 2×1211202500531402 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121120250053141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1811760715 + ... + 1811827565.

It is an arithmetic number, because the mean of its divisors is an integer number (1421265163500).

Almost surely, 2121120250053140 is an apocalyptic number.

121120250053140 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 121120250053140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204662183544000).

121120250053140 is an abundant number, since it is smaller than the sum of its proper divisors (288204117034860).

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

121120250053140 is a wasteful number, since it uses less digits than its factorization.

121120250053140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93607 (or 93602 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 121120250053140 in words is "one hundred twenty-one trillion, one hundred twenty billion, two hundred fifty million, fifty-three thousand, one hundred forty".