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1020121210020 = 2235114591336667
BaseRepresentation
bin11101101100000111111…
…01100101110010100100
310121112010000000210121210
432312003331211302210
5113203202012210040
62100345345511420
7133462361133633
oct16660375456244
93545100023553
101020121210020
113636a3912890
12145858642570
1375273b02083
143753488151a
151b807e76480
hexed83f65ca4

1020121210020 has 96 divisors (see below), whose sum is σ = 3116694583296. Its totient is φ = 247247510400.

The previous prime is 1020121209997. The next prime is 1020121210033. The reversal of 1020121210020 is 200121210201.

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

It is a junction number, because it is equal to n+sod(n) for n = 1020121209978 and 1020121210005.

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, 2861727 + ... + 3198393.

It is an arithmetic number, because the mean of its divisors is an integer number (32465568576).

Almost surely, 21020121210020 is an apocalyptic number.

1020121210020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020121210020 is an abundant number, since it is smaller than the sum of its proper divisors (2096573373276).

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

1020121210020 is a wasteful number, since it uses less digits than its factorization.

1020121210020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341281 (or 341279 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1020121210020 its reverse (200121210201), we get a palindrome (1220242420221).

The spelling of 1020121210020 in words is "one trillion, twenty billion, one hundred twenty-one million, two hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 4591 9182 13773 18364 22955 27546 45910 50501 55092 68865 91820 101002 137730 151503 202004 252505 275460 303006 336667 505010 606012 673334 757515 1010001 1010020 1346668 1515030 1683335 2020002 3030060 3366670 3703337 4040004 5050005 6733340 7406674 10100010 11110011 14813348 18516685 20200020 22220022 37033370 44440044 55550055 74066740 111100110 222200220 1545638197 3091276394 4636914591 6182552788 7728190985 9273829182 15456381970 17002020167 18547658364 23184572955 30912763940 34004040334 46369145910 51006060501 68008080668 85010100835 92738291820 102012121002 170020201670 204024242004 255030302505 340040403340 510060605010 1020121210020