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10001212211220 = 22351771762118121
BaseRepresentation
bin1001000110001001011010…
…1100111000000000010100
31022102002212200012222000020
42101202112230320000110
52302324440311224340
633134254330545140
72051364235101636
oct221422654700024
938362780188006
1010001212211220
11320654362027a
1211563758981b0
13577158336b79
142680c011aa56
1512524b5919d0
hex91896b38014

10001212211220 has 192 divisors, whose sum is σ = 30073872471552. Its totient is φ = 2474293248000.

The previous prime is 10001212211201. The next prime is 10001212211239. The reversal of 10001212211220 is 2211221210001.

It is an interprime number because it is at equal distance from previous prime (10001212211201) and next prime (10001212211239).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10001212211220.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 551903760 + ... + 551921880.

It is an arithmetic number, because the mean of its divisors is an integer number (156634752456).

Almost surely, 210001212211220 is an apocalyptic number.

10001212211220 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 10001212211220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15036936235776).

10001212211220 is an abundant number, since it is smaller than the sum of its proper divisors (20072660260332).

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

10001212211220 is a wasteful number, since it uses less digits than its factorization.

10001212211220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25842 (or 25840 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10001212211220 its reverse (2211221210001), we get a palindrome (12212433421221).

The spelling of 10001212211220 in words is "ten trillion, one billion, two hundred twelve million, two hundred eleven thousand, two hundred twenty".