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1222152360100 = 2252721729292
BaseRepresentation
bin10001110010001101111…
…101010001000010100100
311022211120220021121012221
4101302031331101002210
5130010432001010400
62333240554322124
7154204034441200
oct21621575210244
94284526247187
101222152360100
11431348167111
12178a40429344
138b32cb83ba9
144321c609b00
1521bce8b2c1a
hex11c8df510a4

1222152360100 has 243 divisors, whose sum is σ = 3280742390793. Its totient is φ = 393950699520.

The previous prime is 1222152360073. The next prime is 1222152360211. The reversal of 1222152360100 is 10632512221.

The square root of 1222152360100 is 1105510.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 1120299467364 + 101852892736 = 1058442^2 + 319144^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1315556436 + ... + 1315557364.

Almost surely, 21222152360100 is an apocalyptic number.

1222152360100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1222152360100 is the 1105510-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1222152360100

1222152360100 is an abundant number, since it is smaller than the sum of its proper divisors (2058590030693).

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

1222152360100 is an equidigital number, since it uses as much as digits as its factorization.

1222152360100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1920 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

Multiplying 1222152360100 by its sum of digits (25), we get a square (30553809002500 = 55275502).

1222152360100 divided by its sum of digits (25) gives a square (48886094404 = 2211022).

Adding to 1222152360100 its reverse (10632512221), we get a palindrome (1232784872321).

The spelling of 1222152360100 in words is "one trillion, two hundred twenty-two billion, one hundred fifty-two million, three hundred sixty thousand, one hundred".