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20021211120 = 2435232315087
BaseRepresentation
bin10010101001010110…
…110110111111110000
31220200022102220102210
4102221112312333300
5312000412223440
613110404012120
71306100325621
oct225126667760
956608386383
1020021211120
1185444a7279
123a69091040
131b70bc33b1
14d7d047a48
157c2a5aa80
hex4a95b6ff0

20021211120 has 240 divisors, whose sum is σ = 66987712512. Its totient is φ = 4941150720.

The previous prime is 20021211109. The next prime is 20021211131. The reversal of 20021211120 is 2111212002.

It is an interprime number because it is at equal distance from previous prime (20021211109) and next prime (20021211131).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×200212111202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 20021211096 and 20021211105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3933217 + ... + 3938303.

Almost surely, 220021211120 is an apocalyptic number.

20021211120 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 20021211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33493856256).

20021211120 is an abundant number, since it is smaller than the sum of its proper divisors (46966501392).

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

20021211120 is a wasteful number, since it uses less digits than its factorization.

20021211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5180 (or 5151 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 20021211120 its reverse (2111212002), we get a palindrome (22132423122).

The spelling of 20021211120 in words is "twenty billion, twenty-one million, two hundred eleven thousand, one hundred twenty".