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10020220122000 = 2435311271560227
BaseRepresentation
bin1001000111010000001110…
…1010010011001110010000
31022110220221100221212200210
42101310003222103032100
52303132402322401000
633151120420244120
72052636252503304
oct221640352231620
938426840855623
1010020220122000
113213608039a50
121159b9b540640
13578b9731425a
14268da4753d04
151259b0190350
hex91d03a93390

10020220122000 has 320 divisors, whose sum is σ = 35372132610048. Its totient is φ = 2420176320000.

The previous prime is 10020220121993. The next prime is 10020220122019. The reversal of 10020220122000 is 22102202001.

It is a super-2 number, since 2×100202201220002 (a number of 27 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 17605887 + ... + 18166113.

Almost surely, 210020220122000 is an apocalyptic number.

10020220122000 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 10020220122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17686066305024).

10020220122000 is an abundant number, since it is smaller than the sum of its proper divisors (25351912488048).

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

10020220122000 is a wasteful number, since it uses less digits than its factorization.

10020220122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560535 (or 560519 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 10020220122000 its reverse (22102202001), we get a palindrome (10042322324001).

It can be divided in two parts, 100202 and 20122000, that added together give a palindrome (20222202).

The spelling of 10020220122000 in words is "ten trillion, twenty billion, two hundred twenty million, one hundred twenty-two thousand".