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1220211001020 = 22351127131721521
BaseRepresentation
bin10001110000011010001…
…111100100011010111100
311022122120121021100012210
4101300122033210122330
5124442443004013040
62332320204300420
7154104652243164
oct21603217443274
94278517240183
101220211001020
11430541332320
1217859a241710
138b0b08cbccb
14430b68575a4
1521b19235480
hex11c1a3e46bc

1220211001020 has 192 divisors, whose sum is σ = 3752918894592. Its totient is φ = 293773824000.

The previous prime is 1220211001001. The next prime is 1220211001021. The reversal of 1220211001020 is 201001120221.

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 = 1220211000987 and 1220211001005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220211001021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56687860 + ... + 56709380.

It is an arithmetic number, because the mean of its divisors is an integer number (19546452576).

Almost surely, 21220211001020 is an apocalyptic number.

1220211001020 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 1220211001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1876459447296).

1220211001020 is an abundant number, since it is smaller than the sum of its proper divisors (2532707893572).

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

1220211001020 is a wasteful number, since it uses less digits than its factorization.

1220211001020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22132 (or 22130 counting only the distinct ones).

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

Adding to 1220211001020 its reverse (201001120221), we get a palindrome (1421212121241).

The spelling of 1220211001020 in words is "one trillion, two hundred twenty billion, two hundred eleven million, one thousand, twenty".