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2021220112000 = 2753592141123
BaseRepresentation
bin11101011010011010000…
…110110101011010000000
321011020010022020020020011
4131122122012311122000
5231103424322041000
64144311413354304
7266012501323555
oct35323206653200
97136108206204
102021220112000
1170a216073031
12287886638994
131187a595586b
146db82c1ca2c
153789ae082ba
hex1d69a1b5680

2021220112000 has 128 divisors (see below), whose sum is σ = 5110434763200. Its totient is φ = 794784486400.

The previous prime is 2021220111997. The next prime is 2021220112057. The reversal of 2021220112000 is 2110221202.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126562 + ... + 2014561.

Almost surely, 22021220112000 is an apocalyptic number.

2021220112000 is a gapful number since it is divisible by the number (20) 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 2021220112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2555217381600).

2021220112000 is an abundant number, since it is smaller than the sum of its proper divisors (3089214651200).

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

2021220112000 is an equidigital number, since it uses as much as digits as its factorization.

2021220112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2141211 (or 2141189 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 2021220112000 its reverse (2110221202), we get a palindrome (2023330333202).

The spelling of 2021220112000 in words is "two trillion, twenty-one billion, two hundred twenty million, one hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 59 64 80 100 118 125 128 160 200 236 250 295 320 400 472 500 590 640 800 944 1000 1180 1475 1600 1888 2000 2360 2950 3200 3776 4000 4720 5900 7375 7552 8000 9440 11800 14750 16000 18880 23600 29500 37760 47200 59000 94400 118000 188800 236000 472000 944000 2141123 4282246 8564492 10705615 17128984 21411230 34257968 42822460 53528075 68515936 85644920 107056150 126326257 137031872 171289840 214112300 252652514 267640375 274063744 342579680 428224600 505305028 535280750 631631285 685159360 856449200 1010610056 1070561500 1263262570 1370318720 1712898400 2021220112 2141123000 2526525140 3158156425 3425796800 4042440224 4282246000 5053050280 6316312850 6851593600 8084880448 8564492000 10106100560 12632625700 15790782125 16169760896 17128984000 20212201120 25265251400 31581564250 34257968000 40424402240 50530502800 63163128500 80848804480 101061005600 126326257000 202122011200 252652514000 404244022400 505305028000 1010610056000 2021220112000