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1020020120000 = 265477434903
BaseRepresentation
bin11101101011111011110…
…11111101100111000000
310121111211221210220011222
432311331323331213000
5113203000122320000
62100331335054212
7133460022651560
oct16657573754700
93544757726158
101020020120000
11363651847412
1214582a811368
1375258b993ab
1437525288da0
151b7ee158a85
hexed7defd9c0

1020020120000 has 280 divisors, whose sum is σ = 2895130461696. Its totient is φ = 349179264000.

The previous prime is 1020020119939. The next prime is 1020020120011. The reversal of 1020020120000 is 210200201.

It is a tau number, because it is divible by the number of its divisors (280).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 1020020120000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 208037549 + ... + 208042451.

Almost surely, 21020020120000 is an apocalyptic number.

1020020120000 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 1020020120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1447565230848).

1020020120000 is an abundant number, since it is smaller than the sum of its proper divisors (1875110341696).

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

1020020120000 is an frugal number, since it uses more digits than its factorization.

1020020120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5685 (or 5660 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 1020020120000 its reverse (210200201), we get a palindrome (1020230320201).

The spelling of 1020020120000 in words is "one trillion, twenty billion, twenty million, one hundred twenty thousand".