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1021210002120 = 23357111011094263
BaseRepresentation
bin11101101110001001101…
…11000000001011001000
310121121220212210011121010
432313010313000023020
5113212414230031440
62101045402243520
7133531351536630
oct16670467001310
93547825704533
101021210002120
11364102472470
12145b011b65a0
13753b855a459
14375d93036c0
151b86d846580
hexedc4dc02c8

1021210002120 has 256 divisors, whose sum is σ = 3857411911680. Its totient is φ = 210098304000.

The previous prime is 1021210002023. The next prime is 1021210002133. The reversal of 1021210002120 is 212000121201.

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 = 1021210002096 and 1021210002105.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 386109 + ... + 1480371.

It is an arithmetic number, because the mean of its divisors is an integer number (15068015280).

Almost surely, 21021210002120 is an apocalyptic number.

1021210002120 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 1021210002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1928705955840).

1021210002120 is an abundant number, since it is smaller than the sum of its proper divisors (2836201909560).

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

1021210002120 is a wasteful number, since it uses less digits than its factorization.

1021210002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1094396 (or 1094392 counting only the distinct ones).

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

Adding to 1021210002120 its reverse (212000121201), we get a palindrome (1233210123321).

The spelling of 1021210002120 in words is "one trillion, twenty-one billion, two hundred ten million, two thousand, one hundred twenty".