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121670493120 = 26335112355661
BaseRepresentation
bin111000101010000100…
…0000110001111000000
3102122001102111110021000
41301110020012033000
53443140121234440
6131521124532000
711535052061511
oct1612410061700
9378042443230
10121670493120
1147666904350
121b6b7251000
13b620302237
145c6314aa08
15327197b730
hex1c542063c0

121670493120 has 448 divisors, whose sum is σ = 488614394880. Its totient is φ = 28212940800.

The previous prime is 121670493071. The next prime is 121670493149. The reversal of 121670493120 is 21394076121.

121670493120 is a `hidden beast` number, since 1 + 2 + 167 + 0 + 493 + 1 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2158090 + ... + 2213750.

Almost surely, 2121670493120 is an apocalyptic number.

121670493120 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 121670493120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244307197440).

121670493120 is an abundant number, since it is smaller than the sum of its proper divisors (366943901760).

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

121670493120 is a wasteful number, since it uses less digits than its factorization.

121670493120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55721 (or 55705 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 121670493120 in words is "one hundred twenty-one billion, six hundred seventy million, four hundred ninety-three thousand, one hundred twenty".