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1202121002000 = 24531139352757
BaseRepresentation
bin10001011111100011111…
…111101100110000010000
311020220212212202011202002
4101133203333230300100
5124143420434031000
62320125145013132
7152564451631232
oct21374377546020
94226785664662
101202121002000
114238a8a6a306
12174b8ba841a8
1389489b4a089
144227c0c0252
152140b0008d5
hex117e3fecc10

1202121002000 has 80 divisors (see below), whose sum is σ = 2907038817072. Its totient is φ = 480797081600.

The previous prime is 1202121001993. The next prime is 1202121002111. The reversal of 1202121002000 is 2001212021.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 82486137616 + 1119634864384 = 287204^2 + 1058128^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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, 22759622 + ... + 22812378.

Almost surely, 21202121002000 is an apocalyptic number.

1202121002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1202121002000 is an abundant number, since it is smaller than the sum of its proper divisors (1704917815072).

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

1202121002000 is a wasteful number, since it uses less digits than its factorization.

1202121002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64173 (or 64157 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1202121002000 its reverse (2001212021), we get a palindrome (1204122214021).

The spelling of 1202121002000 in words is "one trillion, two hundred two billion, one hundred twenty-one million, two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 11393 22786 45572 52757 56965 91144 105514 113930 182288 211028 227860 263785 284825 422056 455720 527570 569650 844112 911440 1055140 1139300 1318925 1424125 2110280 2278600 2637850 2848250 4220560 4557200 5275700 5696500 6594625 10551400 11393000 13189250 21102800 22786000 26378500 52757000 105514000 601060501 1202121002 2404242004 3005302505 4808484008 6010605010 9616968016 12021210020 15026512525 24042420040 30053025050 48084840080 60106050100 75132562625 120212100200 150265125250 240424200400 300530250500 601060501000 1202121002000