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20031211200 = 26352711213379
BaseRepresentation
bin10010101001111101…
…000000011011000000
31220201000020221222010
4102221331000123000
5312010442224300
613111402212520
71306251325440
oct225175003300
956630227863
1020031211200
11854a107500
123a704b4140
131b72cb4cc0
14d804cc120
157c3883a50
hex4a9f406c0

20031211200 has 1008 divisors, whose sum is σ = 89141239040. Its totient is φ = 3832012800.

The previous prime is 20031211199. The next prime is 20031211223. The reversal of 20031211200 is 211213002.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 52852611 + ... + 52852989.

Almost surely, 220031211200 is an apocalyptic number.

20031211200 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 20031211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44570619520).

20031211200 is an abundant number, since it is smaller than the sum of its proper divisors (69110027840).

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

20031211200 is a wasteful number, since it uses less digits than its factorization.

20031211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 20031211200 its reverse (211213002), we get a palindrome (20242424202).

The spelling of 20031211200 in words is "twenty billion, thirty-one million, two hundred eleven thousand, two hundred".