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1021000121112 = 23329163255213
BaseRepresentation
bin11101101101110000101…
…10010111101100011000
310121121101020212002222110
432312320112113230120
5113212002012333422
62101012503552320
7133523222556636
oct16667026275430
93547336762873
101021000121112
11364004a50794
12145a62a5b6a0
1375383c237ca
14375b94ac356
151b85a1d960c
hexedb8597b18

1021000121112 has 96 divisors (see below), whose sum is σ = 2656864551600. Its totient is φ = 326575888128.

The previous prime is 1021000121111. The next prime is 1021000121159. The reversal of 1021000121112 is 2111210001201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1021000121111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18464418 + ... + 18519630.

Almost surely, 21021000121112 is an apocalyptic number.

1021000121112 is a gapful number since it is divisible by the number (12) 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 1021000121112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1328432275800).

1021000121112 is an abundant number, since it is smaller than the sum of its proper divisors (1635864430488).

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

1021000121112 is a wasteful number, since it uses less digits than its factorization.

1021000121112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55577 (or 55410 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1021000121112 its reverse (2111210001201), we get a palindrome (3132210122313).

The spelling of 1021000121112 in words is "one trillion, twenty-one billion, one hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 163 174 232 326 348 489 652 696 978 1304 1956 3912 4727 9454 14181 18908 26569 28362 37816 53138 55213 56724 79707 106276 110426 113448 159414 165639 212552 220852 318828 331278 441704 637656 662556 770501 1325112 1541002 1601177 2311503 3082004 3202354 4623006 4803531 6164008 6404708 8999719 9246012 9607062 12809416 17999438 18492024 19214124 26999157 35998876 38428248 53998314 71997752 107996628 215993256 260991851 521983702 782975553 1043967404 1466954197 1565951106 2087934808 2933908394 3131902212 4400862591 5867816788 6263804424 8801725182 11735633576 17603450364 35206900728 42541671713 85083343426 127625015139 170166686852 255250030278 340333373704 510500060556 1021000121112