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120158969978880 = 21333572172353107
BaseRepresentation
bin11011010100100010110000…
…101110001110000000000000
3120202110002022012211200121000
4123110202300232032000000
5111222141032303311010
61103320134015132000
734211125201542300
oct3324426056160000
9522402265750530
10120158969978880
1135317151019248
1211587743b14000
135207c33177931
142195a21c5d600
15dd59259817c0
hex6d48b0b8e000

120158969978880 has 5376 divisors, whose sum is σ = 564651896002560. Its totient is φ = 24032204292096.

The previous prime is 120158969978869. The next prime is 120158969978881. The reversal of 120158969978880 is 88879969851021.

120158969978880 is a `hidden beast` number, since 1 + 20 + 1 + 589 + 6 + 9 + 9 + 7 + 8 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5376).

It is a self number, because there is not a number n which added to its sum of digits gives 120158969978880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120158969978881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1122981027787 + ... + 1122981027893.

Almost surely, 2120158969978880 is an apocalyptic number.

120158969978880 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 120158969978880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282325948001280).

120158969978880 is an abundant number, since it is smaller than the sum of its proper divisors (444492926023680).

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

120158969978880 is a wasteful number, since it uses less digits than its factorization.

120158969978880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 1254113280, while the sum is 81.

The spelling of 120158969978880 in words is "one hundred twenty trillion, one hundred fifty-eight billion, nine hundred sixty-nine million, nine hundred seventy-eight thousand, eight hundred eighty".