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1221101121220 = 225109560138129
BaseRepresentation
bin10001110001001111010…
…011000110111011000100
311022201212122012010120121
4101301033103012323010
5130001303341334340
62332544402511324
7154136011162621
oct21611723067304
94281778163517
101221101121220
11430958826852
121787a8365544
138b1c3146756
144315cb61348
1521b6c45e94a
hex11c4f4c6ec4

1221101121220 has 24 divisors (see below), whose sum is σ = 2587838160600. Its totient is φ = 483959342592.

The previous prime is 1221101121203. The next prime is 1221101121271. The reversal of 1221101121220 is 221211011221.

It can be written as a sum of positive squares in 4 ways, for example, as 32089706496 + 1189011414724 = 179136^2 + 1090418^2 .

It is a super-2 number, since 2×12211011212202 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1221101121194 and 1221101121203.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 280066885 + ... + 280071244.

It is an arithmetic number, because the mean of its divisors is an integer number (107826590025).

Almost surely, 21221101121220 is an apocalyptic number.

1221101121220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1221101121220 is an abundant number, since it is smaller than the sum of its proper divisors (1366737039380).

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

1221101121220 is a wasteful number, since it uses less digits than its factorization.

1221101121220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560138247 (or 560138245 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 1221101121220 its reverse (221211011221), we get a palindrome (1442312132441).

The spelling of 1221101121220 in words is "one trillion, two hundred twenty-one billion, one hundred one million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 109 218 436 545 1090 2180 560138129 1120276258 2240552516 2800690645 5601381290 11202762580 61055056061 122110112122 244220224244 305275280305 610550560610 1221101121220