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12019537920 = 211351330097
BaseRepresentation
bin10110011000110101…
…11001100000000000
31011000122212210100010
423030122321200000
5144104000203140
65304404224520
7603566246415
oct131432714000
934018783303
1012019537920
115108796815
1223b539b140
131197215820
1482046610c
154a532e880
hex2cc6b9800

12019537920 has 192 divisors, whose sum is σ = 41412440160. Its totient is φ = 2958557184.

The previous prime is 12019537909. The next prime is 12019537969. The reversal of 12019537920 is 2973591021.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 384312 + ... + 414408.

Almost surely, 212019537920 is an apocalyptic number.

12019537920 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 12019537920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20706220080).

12019537920 is an abundant number, since it is smaller than the sum of its proper divisors (29392902240).

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

12019537920 is a wasteful number, since it uses less digits than its factorization.

12019537920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30140 (or 30120 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 39.

The spelling of 12019537920 in words is "twelve billion, nineteen million, five hundred thirty-seven thousand, nine hundred twenty".