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1012120002200 = 2352194574911187
BaseRepresentation
bin11101011101001110000…
…11011001111010011000
310120202110101100022220102
432232213003121322120
5113040310210032300
62052543404114532
7133060164033266
oct16564703317230
93522411308812
101012120002200
1136026839aa3a
121441a4b35a48
137459a258288
1436db5d81436
151b4da7dd0d5
hexeba70d9e98

1012120002200 has 192 divisors, whose sum is σ = 2489602262400. Its totient is φ = 381599769600.

The previous prime is 1012120002193. The next prime is 1012120002217. The reversal of 1012120002200 is 22000212101.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 852670007 + ... + 852671193.

It is an arithmetic number, because the mean of its divisors is an integer number (12966678450).

Almost surely, 21012120002200 is an apocalyptic number.

1012120002200 is a gapful number since it is divisible by the number (10) 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 1012120002200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1244801131200).

1012120002200 is an abundant number, since it is smaller than the sum of its proper divisors (1477482260200).

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

1012120002200 is a wasteful number, since it uses less digits than its factorization.

1012120002200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2170 (or 2161 counting only the distinct ones).

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

Adding to 1012120002200 its reverse (22000212101), we get a palindrome (1034120214301).

The spelling of 1012120002200 in words is "one trillion, twelve billion, one hundred twenty million, two thousand, two hundred".