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1222011120020 = 2251721667126827
BaseRepresentation
bin10001110010000101100…
…010011110100110010100
311022211020001111212020212
4101302011202132212110
5130010134321320040
62333214551144552
7154200401064425
oct21620542364624
94284201455225
101222011120020
11431285468379
12178a01075158
138b309831292
144320796164c
1521bc22b3d65
hex11c8589e994

1222011120020 has 72 divisors (see below), whose sum is σ = 2727714146976. Its totient is φ = 459771644416.

The previous prime is 1222011120017. The next prime is 1222011120067. The reversal of 1222011120020 is 200211102221.

It is a super-2 number, since 2×12220111200202 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1222011119977 and 1222011120004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9571847 + ... + 9698673.

It is an arithmetic number, because the mean of its divisors is an integer number (37884918708).

Almost surely, 21222011120020 is an apocalyptic number.

1222011120020 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 1222011120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1363857073488).

1222011120020 is an abundant number, since it is smaller than the sum of its proper divisors (1505703026956).

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

1222011120020 is a wasteful number, since it uses less digits than its factorization.

1222011120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128537 (or 128518 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1222011120020 its reverse (200211102221), we get a palindrome (1422222222241).

The spelling of 1222011120020 in words is "one trillion, two hundred twenty-two billion, eleven million, one hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 289 340 578 1156 1445 1667 2890 3334 5780 6668 8335 16670 28339 33340 56678 113356 126827 141695 253654 283390 481763 507308 566780 634135 963526 1268270 1927052 2156059 2408815 2536540 4312118 4817630 8624236 9635260 10780295 21560590 36653003 43121180 73306006 146612012 183265015 211420609 366530030 422841218 733060060 845682436 1057103045 2114206090 3594150353 4228412180 7188300706 14376601412 17970751765 35941503530 61100556001 71883007060 122201112002 244402224004 305502780005 611005560010 1222011120020