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1120121395200 = 21134521631657
BaseRepresentation
bin10000010011001100011…
…100000001100000000000
310222002020012000112220000
4100103030130001200000
5121323002034121300
62214324320520000
7143632436523213
oct20231434014000
93862205015800
101120121395200
113a204a365025
12161106480000
138181c677b92
143c2dd94d77a
151e20c1eac00
hex104cc701800

1120121395200 has 720 divisors, whose sum is σ = 4176662129640. Its totient is φ = 296687370240.

The previous prime is 1120121395199. The next prime is 1120121395201. The reversal of 1120121395200 is 25931210211.

1120121395200 is a `hidden beast` number, since 1 + 1 + 2 + 0 + 1 + 2 + 139 + 520 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1120121395199) and next prime (1120121395201).

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1120121395201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 675992772 + ... + 675994428.

Almost surely, 21120121395200 is an apocalyptic number.

1120121395200 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 1120121395200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2088331064820).

1120121395200 is an abundant number, since it is smaller than the sum of its proper divisors (3056540734440).

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

1120121395200 is a wasteful number, since it uses less digits than its factorization.

1120121395200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1864 (or 1830 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 1120121395200 in words is "one trillion, one hundred twenty billion, one hundred twenty-one million, three hundred ninety-five thousand, two hundred".