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102012121222200 = 2332527101431185987
BaseRepresentation
bin10111001100011110001100…
…001111111000110000111000
3111101012021010010101021012100
4113030132030033320300320
5101332331311013102300
61000543415503343400
730326063314265460
oct2714361417706070
9441167103337170
10102012121222200
112a560108a85672
12b536770bb1b60
1344bc9179a6137
141b295ad436ba0
15bbd8819b5700
hex5cc78c3f8c38

102012121222200 has 576 divisors, whose sum is σ = 396328346219520. Its totient is φ = 23032506240000.

The previous prime is 102012121222177. The next prime is 102012121222223. The reversal of 102012121222200 is 2222121210201.

It is a happy number.

102012121222200 is a `hidden beast` number, since 1 + 0 + 201 + 21 + 21 + 222 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (102012121222177) and next prime (102012121222223).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 548397607 + ... + 548583593.

It is an arithmetic number, because the mean of its divisors is an integer number (688070045520).

Almost surely, 2102012121222200 is an apocalyptic number.

102012121222200 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 102012121222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198164173109760).

102012121222200 is an abundant number, since it is smaller than the sum of its proper divisors (294316224997320).

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

102012121222200 is a wasteful number, since it uses less digits than its factorization.

102012121222200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186548 (or 186536 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 102012121222200 its reverse (2222121210201), we get a palindrome (104234242432401).

The spelling of 102012121222200 in words is "one hundred two trillion, twelve billion, one hundred twenty-one million, two hundred twenty-two thousand, two hundred".