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2020201122000 = 243531225327479
BaseRepresentation
bin11101011001011101010…
…111101100100011010000
321011010111021211011201210
4131121131113230203100
5231044332441401000
64144022333100120
7265645316131335
oct35313527544320
97133437734653
102020201122000
11709842959836
12287641327640
131186727c9bb9
146dac776a98c
153783b725350
hex1d65d5ec8d0

2020201122000 has 160 divisors (see below), whose sum is σ = 6513897012480. Its totient is φ = 538656729600.

The previous prime is 2020201121987. The next prime is 2020201122011. The reversal of 2020201122000 is 2211020202.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73504261 + ... + 73531739.

It is an arithmetic number, because the mean of its divisors is an integer number (40711856328).

Almost surely, 22020201122000 is an apocalyptic number.

2020201122000 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 2020201122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3256948506240).

2020201122000 is an abundant number, since it is smaller than the sum of its proper divisors (4493695890480).

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

2020201122000 is a wasteful number, since it uses less digits than its factorization.

2020201122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39758 (or 39742 counting only the distinct ones).

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

Adding to 2020201122000 its reverse (2211020202), we get a palindrome (2022412142202).

The spelling of 2020201122000 in words is "two trillion, twenty billion, two hundred one million, one hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 12253 24506 27479 36759 49012 54958 61265 73518 82437 98024 109916 122530 137395 147036 164874 183795 196048 219832 245060 274790 294072 306325 329748 367590 412185 439664 490120 549580 588144 612650 659496 686975 735180 824370 918975 980240 1099160 1225300 1318992 1373950 1470360 1531625 1648740 1837950 2060925 2198320 2450600 2747900 2940720 3063250 3297480 3434875 3675900 4121850 4594875 4901200 5495800 6126500 6594960 6869750 7351800 8243700 9189750 10304625 10991600 12253000 13739500 14703600 16487400 18379500 20609250 24506000 27479000 32974800 36759000 41218500 54958000 73518000 82437000 164874000 336700187 673400374 1010100561 1346800748 1683500935 2020201122 2693601496 3367001870 4040402244 5050502805 5387202992 6734003740 8080804488 8417504675 10101005610 13468007480 16161608976 16835009350 20202011220 25252514025 26936014960 33670018700 40404022440 42087523375 50505028050 67340037400 80808044880 84175046750 101010056100 126262570125 134680074800 168350093500 202020112200 252525140250 336700187000 404040224400 505050280500 673400374000 1010100561000 2020201122000