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1122274384920 = 2334513191139501
BaseRepresentation
bin10000010101001100110…
…001000001110000011000
310222021210020020202120000
4100111030301001300120
5121341404220304140
62215322110533000
7144040001606163
oct20251461016030
93867706222500
101122274384920
113a2a546a6077
12161607507160
1381aa3729bb0
143c465870ada
151e2d622da30
hex1054cc41c18

1122274384920 has 320 divisors, whose sum is σ = 4083547184640. Its totient is φ = 274803840000.

The previous prime is 1122274384883. The next prime is 1122274384937. The reversal of 1122274384920 is 294834722211.

1122274384920 is a `hidden beast` number, since 1 + 122 + 2 + 7 + 4 + 38 + 492 + 0 = 666.

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

It is a congruent number.

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, 7975170 + ... + 8114670.

It is an arithmetic number, because the mean of its divisors is an integer number (12761084952).

Almost surely, 21122274384920 is an apocalyptic number.

1122274384920 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 1122274384920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2041773592320).

1122274384920 is an abundant number, since it is smaller than the sum of its proper divisors (2961272799720).

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

1122274384920 is a wasteful number, since it uses less digits than its factorization.

1122274384920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139728 (or 139715 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 1122274384920 in words is "one trillion, one hundred twenty-two billion, two hundred seventy-four million, three hundred eighty-four thousand, nine hundred twenty".