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1002121001200 = 245211227754773
BaseRepresentation
bin11101001010100110001…
…00001111100011110000
310112210122112110110011001
432211103010033203300
5112404320434014300
62044211254531344
7132254330652004
oct16452304174360
93483575413131
101002121001200
11356aa71a8550
12142274366b54
137366582a737
1436707ddc704
151b102a7b16a
hexe95310f8f0

1002121001200 has 60 divisors (see below), whose sum is σ = 2626468053768. Its totient is φ = 364407635200.

The previous prime is 1002121001129. The next prime is 1002121001239. The reversal of 1002121001200 is 21001212001.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 113872987 + ... + 113881786.

Almost surely, 21002121001200 is an apocalyptic number.

1002121001200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002121001200 is an abundant number, since it is smaller than the sum of its proper divisors (1624347052568).

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

1002121001200 is a wasteful number, since it uses less digits than its factorization.

1002121001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227754802 (or 227754791 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1002121001200 its reverse (21001212001), we get a palindrome (1023122213201).

The spelling of 1002121001200 in words is "one trillion, two billion, one hundred twenty-one million, one thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 2200 4400 227754773 455509546 911019092 1138773865 1822038184 2277547730 2505302503 3644076368 4555095460 5010605006 5693869325 9110190920 10021210012 11387738650 12526512515 18220381840 20042420024 22775477300 25053025030 40084840048 45550954600 50106050060 62632562575 91101909200 100212100120 125265125150 200424200240 250530250300 501060500600 1002121001200