1221122201000 has 64 divisors (see below), whose sum is σ = 3077227979280. Its totient is φ = 450875884800.

The previous prime is 1221122200993. The next prime is 1221122201017. The reversal of 1221122201000 is 1022211221.

It can be written as a sum of positive squares in 8 ways, for example, as 136162476004 + 1084959724996 = 369002^2 + 1041614^2 .

It is a super-2 number, since 2×1221122201000² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46953239 + ... + 46979238.

Almost surely, 2^{1221122201000} is an apocalyptic number.

1221122201000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1221122201000 is an abundant number, since it is smaller than the sum of its proper divisors (1856105778280).

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

1221122201000 is a wasteful number, since it uses less digits than its factorization.

1221122201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93932511 (or 93932497 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1221122201000 its reverse (1022211221), we get a palindrome (1222144412221).

It can be divided in two parts, 1221 and 122201000, that added together give a palindrome (122202221).

The spelling of 1221122201000 in words is "one trillion, two hundred twenty-one billion, one hundred twenty-two million, two hundred one thousand".