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12021793740 = 223351112171663
BaseRepresentation
bin10110011001000111…
…00000001111001100
31011000211010101202000
423030203200033030
5144110034344430
65304524432300
7603624363225
oct131443401714
934024111660
1012021793740
115109a97630
1223b60a8690
131197825528
1482089224c
154a5627e60
hex2cc8e03cc

12021793740 has 192 divisors, whose sum is σ = 40859320320. Its totient is φ = 2910228480.

The previous prime is 12021793687. The next prime is 12021793781. The reversal of 12021793740 is 4739712021.

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

It is a junction number, because it is equal to n+sod(n) for n = 12021793695 and 12021793704.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7228149 + ... + 7229811.

It is an arithmetic number, because the mean of its divisors is an integer number (212808960).

Almost surely, 212021793740 is an apocalyptic number.

12021793740 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 12021793740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20429660160).

12021793740 is an abundant number, since it is smaller than the sum of its proper divisors (28837526580).

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

12021793740 is a wasteful number, since it uses less digits than its factorization.

12021793740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2909 (or 2901 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 12021793740 in words is "twelve billion, twenty-one million, seven hundred ninety-three thousand, seven hundred forty".