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121498853040 = 2435531201611
BaseRepresentation
bin111000100100111100…
…1010101111010110000
3102121121110112020100000
41301021321111322300
53442312201244130
6131452114030000
711530566132225
oct1611171257260
9377543466300
10121498853040
1147588a31644
121b669878300
13b5c3897566
145c4842b94c
153261875260
hex1c49e55eb0

121498853040 has 240 divisors, whose sum is σ = 436798043136. Its totient is φ = 31354387200.

The previous prime is 121498852999. The next prime is 121498853081. The reversal of 121498853040 is 40358894121.

121498853040 is a `hidden beast` number, since 1 + 21 + 4 + 98 + 8 + 530 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (121498852999) and next prime (121498853081).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 501835 + ... + 703445.

Almost surely, 2121498853040 is an apocalyptic number.

121498853040 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 121498853040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218399021568).

121498853040 is an abundant number, since it is smaller than the sum of its proper divisors (315299190096).

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

121498853040 is a wasteful number, since it uses less digits than its factorization.

121498853040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201670 (or 201652 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

It can be divided in two parts, 1214988 and 53040, that added together give a triangular number (1268028 = T1592).

The spelling of 121498853040 in words is "one hundred twenty-one billion, four hundred ninety-eight million, eight hundred fifty-three thousand, forty".