Search a number
-
+
1012201122000 = 24353168700187
BaseRepresentation
bin11101011101010111110…
…00110110100011010000
310120202200000222122100110
432232223320312203100
5113040441441401000
62052555422521320
7133062200402205
oct16565370664320
93522600878313
101012201122000
113602aa1664a2
12144208136240
13745b0cbb263
1436dc2a59cac
151b4e29b3850
hexebabe368d0

1012201122000 has 80 divisors (see below), whose sum is σ = 3263336436672. Its totient is φ = 269920297600.

The previous prime is 1012201121983. The next prime is 1012201122047. The reversal of 1012201122000 is 2211022101.

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

It is a super-2 number, since 2×10122011220002 (a number of 25 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 84344094 + ... + 84356093.

Almost surely, 21012201122000 is an apocalyptic number.

1012201122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012201122000 is an abundant number, since it is smaller than the sum of its proper divisors (2251135314672).

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

1012201122000 is a wasteful number, since it uses less digits than its factorization.

1012201122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168700213 (or 168700197 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1012201122000 its reverse (2211022101), we get a palindrome (1014412144101).

The spelling of 1012201122000 in words is "one trillion, twelve 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 168700187 337400374 506100561 674800748 843500935 1012201122 1349601496 1687001870 2024402244 2530502805 2699202992 3374003740 4048804488 4217504675 5061005610 6748007480 8097608976 8435009350 10122011220 12652514025 13496014960 16870018700 20244022440 21087523375 25305028050 33740037400 40488044880 42175046750 50610056100 63262570125 67480074800 84350093500 101220112200 126525140250 168700187000 202440224400 253050280500 337400374000 506100561000 1012201122000