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10122002220000 = 253541167228901
BaseRepresentation
bin1001001101001011011001…
…0110001100001111100000
31022211122122201221011211010
42103102312112030033200
52311314330032020000
633305552244020520
72063201436165636
oct223226626141740
938748581834733
1010122002220000
113252798411710
121175866091740
135856680b6548
1426dc9c34b356
1512846aa98d50
hex934b658c3e0

10122002220000 has 480 divisors, whose sum is σ = 36761338905984. Its totient is φ = 2417184000000.

The previous prime is 10122002219969. The next prime is 10122002220037. The reversal of 10122002220000 is 2220022101.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 44105550 + ... + 44334450.

Almost surely, 210122002220000 is an apocalyptic number.

10122002220000 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 10122002220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18380669452992).

10122002220000 is an abundant number, since it is smaller than the sum of its proper divisors (26639336685984).

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

10122002220000 is a wasteful number, since it uses less digits than its factorization.

10122002220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229012 (or 228989 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 10122002220000 its reverse (2220022101), we get a palindrome (10124222242101).

The spelling of 10122002220000 in words is "ten trillion, one hundred twenty-two billion, two million, two hundred twenty thousand".