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120212021001020 = 225132341895509001
BaseRepresentation
bin11011010101010100001010…
…110011110011101100111100
3120202122011020102200211202212
4123111110022303303230330
5111224023204334013040
61103400350130435552
734215013642023314
oct3325241263635474
9522564212624685
10120212021001020
11353376a4a303a3
1211595a8a732bb8
13520cc390545b0
142198415878444
15dd6ecd0e7d65
hex6d550acf3b3c

120212021001020 has 192 divisors, whose sum is σ = 293868676926720. Its totient is φ = 40955228160000.

The previous prime is 120212021000977. The next prime is 120212021001029. The reversal of 120212021001020 is 20100120212021.

It is a junction number, because it is equal to n+sod(n) for n = 120212021000986 and 120212021001004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120212021001029) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19066520 + ... + 24575520.

It is an arithmetic number, because the mean of its divisors is an integer number (1530566025660).

Almost surely, 2120212021001020 is an apocalyptic number.

120212021001020 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 120212021001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146934338463360).

120212021001020 is an abundant number, since it is smaller than the sum of its proper divisors (173656655925700).

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

120212021001020 is a wasteful number, since it uses less digits than its factorization.

120212021001020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5509176 (or 5509174 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 120212021001020 its reverse (20100120212021), we get a palindrome (140312141213041).

The spelling of 120212021001020 in words is "one hundred twenty trillion, two hundred twelve billion, twenty-one million, one thousand, twenty".