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2120221022000 = 24536011763911
BaseRepresentation
bin11110110110100111000…
…001010101011100110000
321111200122211220112122112
4132312213001111130300
5234214203040201000
64302003250424452
7306116024221334
oct36664701253460
97450584815575
102120221022000
117481a9547014
122a2ab5892128
13124c22486393
14748952cb7c4
153a242591235
hex1eda7055730

2120221022000 has 80 divisors (see below), whose sum is σ = 5135227616064. Its totient is φ = 846676800000.

The previous prime is 2120221021979. The next prime is 2120221022063. The reversal of 2120221022000 is 2201220212.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 320045 + ... + 2083955.

Almost surely, 22120221022000 is an apocalyptic number.

2120221022000 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 2120221022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2567613808032).

2120221022000 is an abundant number, since it is smaller than the sum of its proper divisors (3015006594064).

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

2120221022000 is a wasteful number, since it uses less digits than its factorization.

2120221022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1764535 (or 1764519 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 2120221022000 its reverse (2201220212), we get a palindrome (2122422242212).

The spelling of 2120221022000 in words is "two trillion, one hundred twenty billion, two hundred twenty-one million, twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 601 1000 1202 2000 2404 3005 4808 6010 9616 12020 15025 24040 30050 48080 60100 75125 120200 150250 240400 300500 601000 1202000 1763911 3527822 7055644 8819555 14111288 17639110 28222576 35278220 44097775 70556440 88195550 141112880 176391100 220488875 352782200 440977750 705564400 881955500 1060110511 1763911000 2120221022 3527822000 4240442044 5300552555 8480884088 10601105110 16961768176 21202210220 26502762775 42404420440 53005525550 84808840880 106011051100 132513813875 212022102200 265027627750 424044204400 530055255500 1060110511000 2120221022000