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212210011211200 = 265210910091205947
BaseRepresentation
bin110000010000000011111110…
…010101100000010111000000
31000211101002010112212001212021
4300100003332111200113000
5210303322100332224300
62031155533332411224
762461444622221642
oct6020037625402700
91024332115761767
10212210011211200
1161686840030512
121b97387b476b14
13915441a0b2032
143a5903b124892
1519801092a8d1a
hexc100fe5605c0

212210011211200 has 168 divisors, whose sum is σ = 527482499363600. Its totient is φ = 84021827420160.

The previous prime is 212210011211171. The next prime is 212210011211203. The reversal of 212210011211200 is 2112110012212.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212210011211203) 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, 175366627 + ... + 176572573.

Almost surely, 2212210011211200 is an apocalyptic number.

212210011211200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212210011211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263741249681800).

212210011211200 is an abundant number, since it is smaller than the sum of its proper divisors (315272488152400).

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

212210011211200 is a wasteful number, since it uses less digits than its factorization.

212210011211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1207087 (or 1207072 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 212210011211200 its reverse (2112110012212), we get a palindrome (214322121223412).

The spelling of 212210011211200 in words is "two hundred twelve trillion, two hundred ten billion, eleven million, two hundred eleven thousand, two hundred".