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20122201201000 = 2353113178072577
BaseRepresentation
bin1001001001101000100001…
…01001111001100101101000
32122020122220210120201021011
410210310100221321211220
510114140232001413000
6110444002301553304
74144531622054623
oct444642051714550
978218823521234
1020122201201000
116458860aa2038
12230b998575834
13b2c6915302b2
144d7cc3a74dba
1524d6581e42ba
hex124d10a79968

20122201201000 has 64 divisors (see below), whose sum is σ = 47502640907280. Its totient is φ = 7977651404800.

The previous prime is 20122201200947. The next prime is 20122201201021. The reversal of 20122201201000 is 10210222102.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 32927005764 + 20089274195236 = 181458^2 + 4482106^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88923289 + ... + 89149288.

Almost surely, 220122201201000 is an apocalyptic number.

20122201201000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20122201201000 is an abundant number, since it is smaller than the sum of its proper divisors (27380439706280).

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

20122201201000 is a wasteful number, since it uses less digits than its factorization.

20122201201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178072711 (or 178072697 counting only the distinct ones).

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

Adding to 20122201201000 its reverse (10210222102), we get a palindrome (20132411423102).

The spelling of 20122201201000 in words is "twenty trillion, one hundred twenty-two billion, two hundred one million, two hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 113 125 200 226 250 452 500 565 904 1000 1130 2260 2825 4520 5650 11300 14125 22600 28250 56500 113000 178072577 356145154 712290308 890362885 1424580616 1780725770 3561451540 4451814425 7122903080 8903628850 17807257700 20122201201 22259072125 35614515400 40244402402 44518144250 80488804804 89036288500 100611006005 160977609608 178072577000 201222012010 402444024020 503055030025 804888048040 1006110060050 2012220120100 2515275150125 4024440240200 5030550300250 10061100600500 20122201201000