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121053240 = 233257112397
BaseRepresentation
bin1110011011100…
…10000000111000
322102210010211100
413031302000320
5221442200430
620002331400
72666635620
oct715620070
9272703740
10121053240
1162371100
1234659b60
131c105449
1412111880
15a962960
hex7372038

121053240 has 288 divisors, whose sum is σ = 495462240. Its totient is φ = 25090560.

The previous prime is 121053239. The next prime is 121053253. The reversal of 121053240 is 42350121.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 304722 + ... + 305118.

It is an arithmetic number, because the mean of its divisors is an integer number (1720355).

Almost surely, 2121053240 is an apocalyptic number.

121053240 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 121053240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247731120).

121053240 is an abundant number, since it is smaller than the sum of its proper divisors (374409000).

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

121053240 is a wasteful number, since it uses less digits than its factorization.

121053240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 121053240 is about 11002.4197338585. The cubic root of 121053240 is about 494.6812763037.

The spelling of 121053240 in words is "one hundred twenty-one million, fifty-three thousand, two hundred forty".