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1202021312020 = 2251935916075483
BaseRepresentation
bin10001011111011110000…
…011011010011000010100
311020220121221011101210121
4101133132003122120110
5124143214423441040
62320111224201324
7152562131400004
oct21373603323024
94226557141717
101202021312020
1142385776a7a1
12174b62609244
13894722b4719
144226cb70004
15214023acc4a
hex117de0da614

1202021312020 has 96 divisors (see below), whose sum is σ = 2666645452800. Its totient is φ = 453868550784.

The previous prime is 1202021311993. The next prime is 1202021312027. The reversal of 1202021312020 is 202131202021.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1202021311985 and 1202021312003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1202021312027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 219224199 + ... + 219229681.

It is an arithmetic number, because the mean of its divisors is an integer number (27777556800).

Almost surely, 21202021312020 is an apocalyptic number.

1202021312020 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 1202021312020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1333322726400).

1202021312020 is an abundant number, since it is smaller than the sum of its proper divisors (1464624140780).

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

1202021312020 is a wasteful number, since it uses less digits than its factorization.

1202021312020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7477 (or 7475 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 1202021312020 its reverse (202131202021), we get a palindrome (1404152514041).

The spelling of 1202021312020 in words is "one trillion, two hundred two billion, twenty-one million, three hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 359 380 718 1436 1607 1795 3214 3590 5483 6428 6821 7180 8035 10966 13642 16070 21932 27284 27415 30533 32140 34105 54830 61066 68210 104177 109660 122132 136420 152665 208354 305330 416708 520885 576913 610660 1041770 1153826 1968397 2083540 2307652 2884565 3936794 5769130 7873588 8811181 9841985 10961347 11538260 17622362 19683970 21922694 35244724 37399543 39367940 43845388 44055905 54806735 74799086 88111810 109613470 149598172 167412439 176223620 186997715 219226940 334824878 373995430 669649756 747990860 837062195 1674124390 3163213979 3348248780 6326427958 12652855916 15816069895 31632139790 60101065601 63264279580 120202131202 240404262404 300505328005 601010656010 1202021312020