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1022120212000 = 2553255530053
BaseRepresentation
bin11101101111110110001…
…11001011011000100000
310121201021022111121211011
432313323013023120200
5113221300233241000
62101315555230304
7133563043311016
oct16677307133040
93551238447734
101022120212000
1136452a238638
12146115ba8394
1375501cba094
143768415a8b6
151b8c36dd2ba
hexedfb1cb620

1022120212000 has 48 divisors (see below), whose sum is σ = 2511349370712. Its totient is φ = 408848083200.

The previous prime is 1022120211953. The next prime is 1022120212019. The reversal of 1022120212000 is 2120212201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 99974851344 + 922145360656 = 316188^2 + 960284^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 127761027 + ... + 127769026.

Almost surely, 21022120212000 is an apocalyptic number.

1022120212000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022120212000 is an abundant number, since it is smaller than the sum of its proper divisors (1489229158712).

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

1022120212000 is an equidigital number, since it uses as much as digits as its factorization.

1022120212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255530078 (or 255530060 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 1022120212000 its reverse (2120212201), we get a palindrome (1024240424201).

The spelling of 1022120212000 in words is "one trillion, twenty-two billion, one hundred twenty million, two hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 255530053 511060106 1022120212 1277650265 2044240424 2555300530 4088480848 5110601060 6388251325 8176961696 10221202120 12776502650 20442404240 25553005300 31941256625 40884808480 51106010600 63882513250 102212021200 127765026500 204424042400 255530053000 511060106000 1022120212000