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1211222210020 = 2251861234113901
BaseRepresentation
bin10001101000000010011…
…110000011010111100100
311021210101011021110001121
4101220002132003113210
5124321040341210040
62324232223303324
7153336133625344
oct21500236032744
94253334243047
101211222210020
114277493a7629
121768aba4ab44
138a2aa574974
14428a2b1cd24
152179001ec4a
hex11a027835e4

1211222210020 has 48 divisors (see below), whose sum is σ = 2546203682736. Its totient is φ = 483986880000.

The previous prime is 1211222209969. The next prime is 1211222210021. The reversal of 1211222210020 is 200122221121.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 47533592484 + 1163688617536 = 218022^2 + 1078744^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1211222209976 and 1211222210003.

It is not an unprimeable number, because it can be changed into a prime (1211222210021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87125070 + ... + 87138970.

It is an arithmetic number, because the mean of its divisors is an integer number (53045910057).

Almost surely, 21211222210020 is an apocalyptic number.

1211222210020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1211222210020 is an abundant number, since it is smaller than the sum of its proper divisors (1334981472716).

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

1211222210020 is a wasteful number, since it uses less digits than its factorization.

1211222210020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18112 (or 18110 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 1211222210020 its reverse (200122221121), we get a palindrome (1411344431141).

The spelling of 1211222210020 in words is "one trillion, two hundred eleven billion, two hundred twenty-two million, two hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 20 1861 2341 3722 4682 7444 9305 9364 11705 13901 18610 23410 27802 37220 46820 55604 69505 139010 278020 4356601 8713202 17426404 21783005 25869761 32542241 43566010 51739522 65084482 87132020 103479044 129348805 130168964 162711205 258697610 325422410 517395220 650844820 60561110501 121122221002 242244442004 302805552505 605611105010 1211222210020