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2120059422720 = 21134519235849
BaseRepresentation
bin11110110110011101011…
…000111000100000000000
321111200020120211110010000
4132312131120320200000
5234213340203011340
64301535235040000
7306112022521401
oct36663530704000
97450216743100
102120059422720
11748126302098
122a2a6b740000
13124bc7b559c5
147487ba639a8
153a2332bed30
hex1ed9d638800

2120059422720 has 960 divisors, whose sum is σ = 8348099760000. Its totient is φ = 512219676672.

The previous prime is 2120059422707. The next prime is 2120059422737. The reversal of 2120059422720 is 272249500212.

It is a happy number.

2120059422720 is a `hidden beast` number, since 2 + 1 + 20 + 0 + 594 + 2 + 27 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 362462356 + ... + 362468204.

It is an arithmetic number, because the mean of its divisors is an integer number (8695937250).

Almost surely, 22120059422720 is an apocalyptic number.

2120059422720 is a gapful number since it is divisible by the number (20) 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 2120059422720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4174049880000).

2120059422720 is an abundant number, since it is smaller than the sum of its proper divisors (6228040337280).

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

2120059422720 is a wasteful number, since it uses less digits than its factorization.

2120059422720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5930 (or 5901 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 2120059422720 in words is "two trillion, one hundred twenty billion, fifty-nine million, four hundred twenty-two thousand, seven hundred twenty".