Search a number
-
+
1200121110100 = 2252112347435617
BaseRepresentation
bin10001011101101100110…
…010101101111001010100
311020201201111121010210201
4101131230302231321110
5124130322001010400
62315154504230244
7152464056056503
oct21355462557124
94221644533721
101200121110100
11422a72096990
1217471216b384
138922b70cca3
144212c65283a
152134066006a
hex1176ccade54

1200121110100 has 72 divisors (see below), whose sum is σ = 2964536382528. Its totient is φ = 417433420800.

The previous prime is 1200121110091. The next prime is 1200121110101. The reversal of 1200121110100 is 10111210021.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1200121110101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23692509 + ... + 23743108.

It is an arithmetic number, because the mean of its divisors is an integer number (41174116424).

Almost surely, 21200121110100 is an apocalyptic number.

1200121110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1200121110100 is an abundant number, since it is smaller than the sum of its proper divisors (1764415272428).

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

1200121110100 is a wasteful number, since it uses less digits than its factorization.

1200121110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47435665 (or 47435658 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1200121110100 its reverse (10111210021), we get a palindrome (1210232320121).

The spelling of 1200121110100 in words is "one trillion, two hundred billion, one hundred twenty-one million, one hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 23 25 44 46 50 55 92 100 110 115 220 230 253 275 460 506 550 575 1012 1100 1150 1265 2300 2530 5060 6325 12650 25300 47435617 94871234 189742468 237178085 474356170 521791787 948712340 1043583574 1091019191 1185890425 2087167148 2182038382 2371780850 2608958935 4364076764 4743561700 5217917870 5455095955 10435835740 10910191910 12001211101 13044794675 21820383820 24002422202 26089589350 27275479775 48004844404 52179178700 54550959550 60006055505 109101919100 120012111010 240024222020 300030277525 600060555050 1200121110100