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1220013121536 = 21333112917291
BaseRepresentation
bin10001110000001110011…
…100101110000000000000
311022122001210221000121000
4101300032130232000000
5124442041324342121
62332244415132000
7154100030300106
oct21601634560000
94278053830530
101220013121536
1143044a668560
12178543b14000
138b07b907c61
1443098467c76
1521b06b99526
hex11c0e72e000

1220013121536 has 448 divisors, whose sum is σ = 4079445638400. Its totient is φ = 356931993600.

The previous prime is 1220013121469. The next prime is 1220013121541. The reversal of 1220013121536 is 6351213100221.

1220013121536 is a `hidden beast` number, since 1 + 2 + 2 + 0 + 0 + 1 + 3 + 121 + 536 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70549051 + ... + 70566341.

Almost surely, 21220013121536 is an apocalyptic number.

1220013121536 is a gapful number since it is divisible by the number (16) 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 1220013121536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2039722819200).

1220013121536 is an abundant number, since it is smaller than the sum of its proper divisors (2859432516864).

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

1220013121536 is a wasteful number, since it uses less digits than its factorization.

1220013121536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17366 (or 17336 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 1220013121536 its reverse (6351213100221), we get a palindrome (7571226221757).

The spelling of 1220013121536 in words is "one trillion, two hundred twenty billion, thirteen million, one hundred twenty-one thousand, five hundred thirty-six".