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1122421812480 = 2833537387071
BaseRepresentation
bin10000010101010101100…
…011011010110100000000
310222022011111122212011000
4100111111203122310000
5121342204440444410
62215344454452000
7144043441663143
oct20252543326400
93868144585130
101122421812480
113a301a940631
12161648964000
1381ac8137c37
143c47b28a05a
151e2e4150dc0
hex105558dad00

1122421812480 has 288 divisors, whose sum is σ = 3993762769920. Its totient is φ = 298506608640.

The previous prime is 1122421812451. The next prime is 1122421812493. The reversal of 1122421812480 is 842181242211.

1122421812480 is a `hidden beast` number, since 1 + 122 + 42 + 1 + 8 + 12 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12847345 + ... + 12934415.

It is an arithmetic number, because the mean of its divisors is an integer number (13867231840).

Almost surely, 21122421812480 is an apocalyptic number.

1122421812480 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 1122421812480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1996881384960).

1122421812480 is an abundant number, since it is smaller than the sum of its proper divisors (2871340957440).

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

1122421812480 is an equidigital number, since it uses as much as digits as its factorization.

1122421812480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87474 (or 87454 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The spelling of 1122421812480 in words is "one trillion, one hundred twenty-two billion, four hundred twenty-one million, eight hundred twelve thousand, four hundred eighty".