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1012012122020 = 22553979842561
BaseRepresentation
bin11101011101000001001…
…11110111111110100100
310120202011212100110010012
432232200213313332210
5113040100100401040
62052524551545352
7133054414050644
oct16564047677644
93522155313105
101012012122020
11360212506a69
1214417498b258
1374580ab5a53
1436da58dc524
151b4d10cd865
hexeba09f7fa4

1012012122020 has 48 divisors (see below), whose sum is σ = 2187647200368. Its totient is φ = 393072476160.

The previous prime is 1012012122019. The next prime is 1012012122061. The reversal of 1012012122020 is 202212102101.

It can be written as a sum of positive squares in 8 ways, for example, as 18625152676 + 993386969344 = 136474^2 + 996688^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1012012121986 and 1012012122004.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4818461 + ... + 5024100.

It is an arithmetic number, because the mean of its divisors is an integer number (45575983341).

Almost surely, 21012012122020 is an apocalyptic number.

1012012122020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012012122020 is an abundant number, since it is smaller than the sum of its proper divisors (1175635078348).

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

1012012122020 is a wasteful number, since it uses less digits than its factorization.

1012012122020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9842720 (or 9842718 counting only the distinct ones).

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

Adding to 1012012122020 its reverse (202212102101), we get a palindrome (1214224224121).

The spelling of 1012012122020 in words is "one trillion, twelve billion, twelve million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 53 97 106 194 212 265 388 485 530 970 1060 1940 5141 10282 20564 25705 51410 102820 9842561 19685122 39370244 49212805 98425610 196851220 521655733 954728417 1043311466 1909456834 2086622932 2608278665 3818913668 4773642085 5216557330 9547284170 10433114660 19094568340 50600606101 101201212202 202402424404 253003030505 506006061010 1012012122020