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1021210212000 = 253531123379091
BaseRepresentation
bin11101101110001001101…
…11110011011010100000
310121121220220011211111110
432313010313303122200
5113212414303241000
62101045410543320
7133531353402546
oct16670467633240
93547826154443
101021210212000
113641025a6120
12145b01297b40
13753b8601b44
14375d9359d96
151b86d888850
hexedc4df36a0

1021210212000 has 768 divisors, whose sum is σ = 3911655960576. Its totient is φ = 230376960000.

The previous prime is 1021210211939. The next prime is 1021210212007. The reversal of 1021210212000 is 2120121201.

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

It is not an unprimeable number, because it can be changed into a prime (1021210212007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 112327455 + ... + 112336545.

It is an arithmetic number, because the mean of its divisors is an integer number (5093302032).

Almost surely, 21021210212000 is an apocalyptic number.

1021210212000 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 1021210212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1955827980288).

1021210212000 is an abundant number, since it is smaller than the sum of its proper divisors (2890445748576).

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

1021210212000 is a wasteful number, since it uses less digits than its factorization.

1021210212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9190 (or 9172 counting only the distinct ones).

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

Adding to 1021210212000 its reverse (2120121201), we get a palindrome (1023330333201).

The spelling of 1021210212000 in words is "one trillion, twenty-one billion, two hundred ten million, two hundred twelve thousand".