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1119247321920 = 26357213172331151
BaseRepresentation
bin10000010010011000010…
…101101100101101000000
310221222222021022000202120
4100102120111230231000
5121314204303300140
62214101454244240
7143601664156500
oct20223025545500
93858867260676
101119247321920
113a1740a30912
12160b017b6680
138171055b460
143c259821a00
151e1aa5e11d0
hex1049856cb40

1119247321920 has 2688 divisors, whose sum is σ = 5110873915392. Its totient is φ = 204374016000.

The previous prime is 1119247321883. The next prime is 1119247321979. The reversal of 1119247321920 is 291237429111.

It is a super-2 number, since 2×11192473219202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 7412233845 + ... + 7412233995.

It is an arithmetic number, because the mean of its divisors is an integer number (1901366784).

Almost surely, 21119247321920 is an apocalyptic number.

1119247321920 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 1119247321920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2555436957696).

1119247321920 is an abundant number, since it is smaller than the sum of its proper divisors (3991626593472).

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

1119247321920 is a wasteful number, since it uses less digits than its factorization.

1119247321920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The spelling of 1119247321920 in words is "one trillion, one hundred nineteen billion, two hundred forty-seven million, three hundred twenty-one thousand, nine hundred twenty".